nature of zeros of zeros of quadratic functions

Find the quadratic function which has the zeros 4, - 9. => f ( x ) = x 2 - 5 x - 36 or f ( x ) = x 2 + 5 x - 36 or f ( x ) = x 2 + 5 x + 36 or f ( x ) = x 2 - 5 x + 36..

. A quadratic equation has exactly two roots. For the quadratic equations, we have i) b 2 - 4ac > 0 Roots are real and distinctii) b 2 - 4ac = 0 Roots are real and equaliii) b 2 - 4ac < 0 Roots are imaginary and distinct If the roots of ax2 + bx + c = 0, a( 0),b, c R, are ..

Find the zeros of the function as shown in the graph. => 0 or - 2 and 3 or - 2 or 3 and - 3 or 3 and 0..

Which of the following functions excludes zero from its domain? => y = - x or y = log x or y = e x - 2 or y = cos x..

Find the number of zeros of the function as shown in the graph. => 1 or 0 or 3 or ∞ or 2..

An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers and where "a" does not equal to zero(0). The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term divided by the leading coefficient. The product of th..

Which of the following polynomial functions has leading coefficient 3, degree 3 and - 1, 3 and 5 as real zeros? => f ( x ) = 3 x 3 - 21 x 2 + 21 x + 45 or f ( x ) = 3 3 - 21 x 2 + 2 x - 2 or f ( x ) = 3 3 - 21 x 2 - 21 x - 45 or f ( x ) = 3 x 3 - 21 x 2 + 21 x - 25..

Find a polynomial function in standard form with real coefficients whose zeros are 3 and - 5 and multiplicity is 2 and 2. => f(x ) = x 4 - 2 6 x 2 + 2 2 5 or f(x ) = x 4 + 4 x 3 - 2 6 x 2 - 6 0 x + 2 2 5 or f(x ) = x 4 + 4 x 3 - 6 0 x or f(x ) = x 4 + 2 6 x 2 + 2 2 5..

Ice floats on water because of its lower density when compared to liquid water. During winter, this floating block of ice prevents or delays the freezing of the underlying water. Thus, when the temperature falls below zero degree Celsius, the upper layer of water in most aquatic bodies s..

Choose the cubic function with the zeros 3 , - 3 , 4. => f ( x ) = x 3 - 4 x 2 - 3 x + 12 or f ( x ) = x 3 - 4 x 2 + 3 x + 12 or f ( x ) = x 3 - 4 x 2 - 3 x - 12 or f ( x ) = x 3 + 4 x 2 -..