MyQuestionIcon

11

You visited us 11 times! Enjoying our articles? Unlock Full Access!

Formation of a Quadratic Equation From It's Roots

A quadratic p...

Question

A quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3, is

(a) x² − 9
(b) x² + 9
(c) x² + 3
(d) x² − 3

Open in App

Solution

Since and are the zeros of the quadratic polynomials such that

If one of zero is 3 then

Substituting in we get

Let S and P denote the sum and product of the zeros of the polynomial respectively then

Hence, the required polynomials is

Hence, the correct choice is

Suggest Corrections

thumbs-up

98

Similar questions

A quadratic polynomial whose zeros are $5$ and $- 3,$ is

(a) $x^{2} + 2 x - 15$

(b) $x^{2} - 2 x + 15$

(c) $x^{2} - 2 x - 15$

(d) none of these

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. A quadratic equation whose one root is 2 and the sum of whose roots is zero, is

(a) x² + 4 = 0
(b) x² − 4 = 0
(c) 4x² − 1 = 0
(d) x² − 2 = 0

Q. Question 2
A quadratic polynomial, who zeroes are -3 and 4, is
(a)

x^{2} - x + 12

x^{2} + x + 12

\frac{x^{2}}{2} - \frac{x}{2} - 6

2 x^{2} + 2 x - 24

Q. A quadratic polynomial whose zeros are

\frac{3}{5}

\frac{- 1}{2}

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

x^{2} - \frac{1}{10} x - \frac{3}{10}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Formation of a Quadratic Equation From It's Roots

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon