Question

factorise x²+15x+26


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Answer 1

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Step-by-step explanation:

x²+15x+26

x²+2x+13x+26

x(x+2)+13(x+2)

(x+2)(x+13)

Answer 2

Required Answer:-

Given To Factorise:

• x² + 15x + 26

Solution:

We have,

x² + 15x + 26

We need to split 15 into two parts whose sum is 15 and product is 26.

We found that,

• 13 + 2 = 15 and,
• 13 × 2 = 26

So,

x² + 15x + 26

= x² + 2x + 13x + 26

= x(x + 2) + 13(x + 2)

Taking (x + 2) as common, we get,

= (x + 2)(x + 13)

★ Hence, the factorised form of the polynomial is (x + 2)(x + 3)

Answer:

• Factorised form is - (x + 2)(x + 3)