Question

B)
1)
Attempt the following:
Find the sum of zeroes of the polynomial 3x2 - 7x - 6​

Answer 1

Answer:

10th

Maths

Polynomials

Relationship between Zeroes and Coefficients of a Polynomial

Find the sum of the zeroes ...

MATHS

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Asked on October 15, 2019 by

Dhanish Gopinath

Find the sum of the zeroes and the product of the zeroes of the quadratic polynomial p(x)=3x

2

+7x+4, without finding the zeroes.

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VIDEO EXPLANATION

ANSWER

For p(x)=3x

2

+7x+4, let α and β be the zeroes of p(x)

Here a=3,b=7,c=4 .......... [By comparing with standard quadratic polynomial]

Sum of zeroes=α+β=−

a

b

=−

Coefficientofx

2

Coefficientofx

=−

3

7

Product of zeroes =α.β=

a

c

=

Coefficientofx

2

Constantterm

=

3

4