Question

The product of the zeros of the polynomial 4xsquare+3x+7

Answer 1

Answer:

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Class 10

>>Maths

>>Polynomials

>>Relationship between Zeroes and Coefficients of a Polynomial

>>If alpha and beta are the z...

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If α and β are the zeroes of the polynomial 4x

2

+3x+7, then

α

1

+

β

1

is equal to:

Easy

Solution

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Correct option is

D

−

7

3

Given: α,β are zeroes of the polynomial 4x

2

+3x+7

To find the value of

α

1

+

β

1

We know that equation ax

2

+bx+c=0

Then sum of roots =

a

−b

and product of roots=

a

c

From the given quadratic equation,

α+β=−

4

3

and αβ=

4

7

Therefore,

α

1

+

β

1

=

αβ

α+β

=

4

7

−

4

3

=−

7

3

⇒

α

1

+

β

1

=−

7

3

Answer 2

Answer:

$\alpha \times \beta = \frac{c}{a}$

$\frac{c}{a} = \frac{7}{4}$

$\alpha \times \beta = \frac{7}{4}$

where alpha and beta are the zeros of the polynomial p(x).