Question

Factorise the polynomial p(x) = 20x

2 − 9x + 1 and find the zeros

Answer 1

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Answer 2

Factorisation -

(4x - 1) (5x - 1)

zeroes -

1/4 & 1/5

Step-by-step explanation:

Given -

polynomial p(x) = 20x² - 9x + 1

To find -

Factorise and find the zeroes

Solution -

20x² - 9x + 1

=> 20x² - 5x - 4x + 1

=> 5x(4x - 1) -1(4x - 1)

=> (4x - 1) (5x - 1)

Factorisation of polynomial -

(4x - 1) (5x - 1)

Now,

if 20x² - 9x + 1 = 0

=> (4x - 1) (5x - 1) = 0

zero 1 -

4x - 1 = 0

=> 4x = 1

=> x = 1/4

zero 2 -

5x - 1 = 0

=> 5x = 1

=> x = 1/5

Hence zeroes of polynomial -

1/4 & 1/5

hope it helps.