Question

Using factor theorem, factorize each of the following polynomials: (i) x3 – 6x2 + 3x + 10 (ii) 2y3 – 5y2 – 19y + 42

Answer 1

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question no 1:

(i) x3 – 6x2 + 3x + 10

y = (x - 1)(x + 2)(x + 5)

Explanation

Since a + b + c + d = 0, f(1) = 0. One factor is (x - 1).

After division -->

$</p><p>y=(x−1)(x2+7x+10)</p><p>$

The trinomial in parentheses can be factored

Find 2 numbers knowing sum (7) and product (10). They are 2 and 5.

$</p><p>x2+7x+10=(x+2)(x+5)</p><p>$

$</p><p></p><p>y=(x−1)(x+2)(x+5)$

question no 2:

(ii) 2y3 – 5y2 – 19y + 42

it was attempted.........

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Answer 2

Answer:

above answers will help u