Question

If one zero of polynomial 3r² -8x -2k - 1 is seven
times the other, then find the zeroes and value of k. ​

Answer 1

Answer:

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10th

Maths

Polynomials

Relationship between Zeroes and Coefficients of a Polynomial

If one of the zero of polyn...

MATHS

If one of the zero of polynomial 3x

2

−8x+2k+1 is seven times the other, find the value of k.

December 27, 2019

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Rajnandini Mohommad

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ANSWER

Let the zero of polynomial be α,7α

sum of roots is given by

a

−b

=

3

8

8α=

3

8

α=

3

1

product of roots $

a

c

=2k+1

7α

2

=2k+1

9

7

=2k+1

2k=

9

−2

k=

9

−1

Answer 2

−5(2)+k=0

(since 2 is one root)

4−10+k=0k=6

equation will be x

2

−5x+6=0

(x−3)(x−2)=0

x=3,2

Hence, other root of the equation is 3.