how to determine the 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..

If the change in velocity is zero, i.e., either the object is at rest or moving with uniform velocity, then the object is said to have zero acceleration. Example: A car parked in the basement of an apartment or a train moving with a constant speed of 90 miles..

When the applied force and the displacement make an angle 90 o to each other, the work done is zero. This is because cos 90 = 0. A person carrying a briefcase, moves on a horizontal road. Since, the gravitational force acts vertically downwards and the displacement of the person is in..

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

Determine which of the graphs shown represent a quadratic function. => Graph 2 and Graph 3 or Graph 2 and Graph 1 or Graph 2 only or Graph 3 only..

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 the leading coefficient 2, degree 3, with - 2, 1 and 4 as real zeros? => f ( x ) = 2 x 3 + 6 x 2 + 12 x + 16 or f ( x ) = 2 x 3 + 6 x 2 - 12 x - 16 or f ( x ) = 2 x 3 - 6 x 2 - 12 x + 16 or f ( x ) = x 3 + x 2 +..