Question

factorize the following polynomial (X²-2x+3) (x²-2x+5)-35​

Answer 1

Required Answer:-

Given to Factorise:

• (x² - 2x + 3)(x² - 2x + 5) - 35

Solution:

Let us assume that,

→ y = x² - 2x

Therefore,

(x² - 2x + 3)(x² - 2x + 5) - 35

= (y + 3)(y + 5) - 35

= y² + 8y + 15 - 35

= y² + 8y - 20

= y² - 2y + 10y - 20

= y(y - 2) + 10(y - 2)

= (y + 10)(y - 2)

Now, substituting the value of y here, we get,

= (x² - 2x + 10)(x² - 2x + 2)

★ Therefore, the factorised form of the given polynomial is (x² - 2x + 10)(x² - 2x + 2)

Answer:

• (x² - 2x + 10)(x² - 2x + 2)

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