SocialTwist Tell-a-Friend

Ask a Question? Get an Answer!


Question: Factor the trinomial.
3y2 - 10y - 8


A ) (y - 2)(3y + 4)
B ) (y - 4)(3y + 2)
C ) (y + 3)(2y + 2)
D ) (y - 1)(3y - 8)

Steps to derive

1 3y2 - 10y - 8
 [Given trinomial.]

2 a = 3, b = - 10, c = - 8
 [Compare with ax² + bx + c.]

3 Find two numbers whose product is 3 and another two numbers whose product is - 8.
    Factors of 3       Factors of - 8
         1, 3           - 1, 8; - 2, 4 and - 4, 2

4 Use FOIL method to check the middle term in the trial factors.
    Trial factors           Middle term
    (y - 1)(3y + 8)      8y - 3y = 5y
    (y - 2)(3y + 4)     4y - 6y = - 2y
    (y - 4)(3y + 2)     2y - 12y = - 10y

5 So, 3y2 - 10y - 8 = (y - 4)(3y + 2).



Hence the right answer is Option B

Click Here To Go Back


Few Other Questions -

  • The number of dimes collected by the students of a grade are displayed in the stem-and-lea..
  • A children's club consists of two baseball teams. The stem-and-leaf plot shows the number ..
  • A car runs 18 mi. on 2 gallons of gas. The number of gallons of gas varies directly with t..
  • A group of students in 10th grade went on a botanical trip. While returning from the trip,..
  • The discounts offered by a super market are as shown in the table. Which of the histograms..
  • The histogram represents the number of trains that arrive at the station in a city. How ma..
  • The stem-and-leaf plot shown represents the sales of a particular type of bouquet over 10..
  • The discounts offered by a super market are shown in the table. Which of the histograms is..
  • The table shows the number of states that have a certain population. Which histogram corre..
  • The number of channels viewed by people of different ages is given in the table. Which hi..
  • The stem-and-leaf plot shown represents the sales of ice creams in the past 10 days. Which..
  • The time taken by the racers in a car race are 1.2 min, 1.5 min, 1.2 min, 1.4 min, 1.5 min..
  • A jewellery store sells gold chains, diamond rings and bracelets. The cost of 24 different..
  • A student took 16 mock tests. He received the average score in 4th, 8th and 12th tests. In..
  • Pick an appropriate frequency table for the stem and leaf plot...
  • Which frequency table represents the data? 18, 6, 10, 21, 10, 12, 14, 18, 21, 10, 18, 12, ..
  • Select a suitable line graph for the data.Number of burgers sold300400100400600MonthJuneJu..
  • The number of injuries that the Badgers football team had in the past years is shown in th..
  • The line graph shows the hours of study and test scores of 8 students. Suppose the trend f..
  • The increase in the number of women competing in the beauty contest held by a company sinc..
  • Chris's annual income is given in the table. Choose the correct line graph and determine t..
  • The time plot is an example of a______...
  • Determine whether the graph represents a direct variation or not...
  • Determine whether the graph represents a direct variation or not...
  • Which one of the following is not a direct variation?..
  • If the circumference of a circle varies directly as its diameter, then the constant of var..
  • Simplify: (2x215)(2x+3x) &pe;..
  • Simplify: (3x - 5x+1x) ÷ (x15x - 20)..
  • Find the expression for the perimeter of rectangle...
  • Find the expression for the perimeter of triangle...
  • Write the sum in simplest form: 94x+73x..
  • Write the sum in simplest form: 4x + 43+x + 54..
  • Simplify: x - 56x2 - 67x..
  • Simplify the expression: 4x + 4+xx + 3..
  • Simplify the expression: 2x + 1x + 2 + x + 1x + 3..
  • Simplify the expression: x + 4x + 5-x + 1x + 6..
  • Simplify:5xx²+10x+244x+4+5x+6..
  • Simplify: 163x-15-3x+5194x-20+3x+5..
  • Simplify: 8xx²+16x+647x+8+8x(x+8)²..
  • Simplify: 3m(9a-9b)² +4n(a-b)39l(9a-9b)3..
  • Simplify: (5c)/(4c)..
  • Solve: x3 + x4 = 7..
  • Solve the equation: 6a105 - 67 = 5a105 - 45..
  • Solve the equation: c2 - 4 = c10..
  • Solve the equation 2c - 24 - 14 = 14...
  • Solve the equation 3b - 26 - 1 = 2b - 33...
  • Find the ratio of surface area to volume of a cone submersible with height and radius equa..
  • Is the expression x2 + 4x + 4x2 - 2x - 8 defined a..
  • Is the expression x2 + 5x - 36x2 - 8x + 16 defined..
  • For what values of variables is the expression - 8x79y7z5 undefined?..
  • Estimate the approximate coordinates with the longitude as the x-coordinate and the latitu..
  • The coordinates of three vertices of a parallelogram are (- 4, - 5), (0.5, - 5) and (2, - ..
  • Where does the point (0, - 9) lie?..
  • Zelma goes from the point (- 3, 1) to a cosmetics store located at the point 6 units to th..
  • Identify the quadrant in which the point (- 7, - 8) lies...
  • Choose the graph where the point A represents the coordinates (- 4, 3)...
  • Choose the ordered pair that tells you to move 2 units to the left of the origin and then ..
  • A translation is also called as _______...
  • What type of transformation is illustrated in the figure?..
  • Translate the point C(- 2, 2) down 3 units and right 6 units. What are the coordinates of ..
  • What type of transformation is there in the figure?..
  • Translate the point A (- 2, 2) down 4 units and left 2 units. What are the coordinates of ..
  • Translate the point B(3, - 2) up 5 units and left 5 units. What are the coordinates of it..
  • A point P (x, y) is translated 4 units left and 8 units down. Write a rule for the transla..
  • Write a rule for the translation, P (6, 2) → P′(- 4, 11)...
  • What is the equation of the image of line y = 2x + 1, if it has been translated 3 units t..
  • The scatter plot gives a relationship between demand and price of consumer goods. What tre..
  • The scatter plot shows the number of matches won by teams representing USA from 1986 to 19..
  • The scatter diagram shows the yield of an apple orchard. Find the increase in the number o..
  • The distance between two points (x1, y1) and (x2, y2) is _____...
  • Find the perimeter of quadrilateral ABCD...
  • The endpoints of a line segment are (2, - 4) and (2, - 2). Find the midpoint of the line s..
  • In a coordinate plane L is at (- 5, - 5) and M is at (- 7, - 6). Find the distance between..
  • Find the midpoint of the line segment PQ which connects the points P (9, 6) and Q (11, 8)...
  • The distance between A (5, 4) and B (3, x) is 22 units. Find the coordinates of B...
  • What is the standard form of an equation of a circle with center (h, k) and radius r ?..
  • Write the standard equation of the circle with center (8, - 5) and radius 9...
  • Which of the follwoing is in the standard form of equation of a circle with center at th..
  • Which of the following represents the equation of a circle?..
  • Find the coordinates of the center of the circle whose equation is (x - 9)² + (y + 8)..
  • What does the equation x² + y² - 2x + 4y + 1 = 0 represent?..
  • What is the center of the circle whose equation is x² + y² - 4x - 6y - 4 = 0?..
  • What is the radius of the circle whose equation is x² + y² - 6x + 8y = 24?..
  • How many circles can be drawn through 3 non collinear points?..
  • What is the equation of the circle with center (10, - 8) and passing through (4, - 4)?..
  • Where does the point (4, 5) lie with respect to the circle x² + y² = 9?..
  • Sketch the equation (x - 1)² + (y - 3)² = 4..
  • Sketch the graph of x² + y² < 9...
  • Does the point (7, 3) lie on the circle (x - 4)2 + (y + 6)2 = 90?..
  • Does the point (3, 0) lie on the circle (x + 4)² + (y - 1)² = 25?..
  • Sketch the graph (x - 2)² + y² < 9...
  • Sketch the graph: (x + 1)² + (y - 1)² > 4..
  • Write the equation of the circle shown...
  • Write the equation of the circle shown...
  • Write the equation of the circle shown...
  • Write the equation of the circle shown...
  • The diameter of a circle has end points (- 3, 7) and (5, 5). Write the equation of the cir..
  • The coordinates of the point A and B are (0, 0) and (a, b). Find the radius of the circle ..
  • Find the coordinates of the center of the circle shown with A (a, b) and B (c, d) as the e..
  • Which of the following is not the equation of a circle?..
    		•