MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Sum and Product of Roots of a Quadratic Equation

The sum and t...

Question

The sum and the product of the zeros of a quadratic polynomial are 3 and -10 respectively. The quadratic polynomial is

(a) $x^{2} - 3 x + 10$ (b) $x^{2} + 3 x - 10$ (c) $x^{2} - 3 x - 10$ (d) $x^{2} + 3 x + 10$

Open in App

Solution

sum of roots = 3 = S

product of roots = -10 = P

now, the required quadratic polynomial is given by,

p (x) =

=
option c is correct

Suggest Corrections

thumbs-up

27

Similar questions

Q. The sum and product of the zeros of a quadratic polynomial are 3 and −10 respectively. The quadratic polynomial is

(a) x² − 3x + 10
(b) x² + 3x −10
(c) x² − 3x −10
(d) x² + 3x + 10

Q. Find the sum and product of zeros of quadratic polynomial

3 x^{2} - 4 x + 7

Q. Find the zeros of the quadratic polynomial (x² + 3x − 10) and verify the relation between its zeros and coefficients.

Q. Find the sum (s) and product (p) of zeros of the polynomial

x^{2} - 3 x - 5

by using those value

S

P

as zeros write another quadratic polynomial ?

Q. Find a quadratic polynomial, whose sum and product of zeros are

- \frac{- 10}{\sqrt{3}}

7

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Sum and Product of Roots of a Quadratic Equation

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon