Question

2. Factorise x^2 + 15 x + 44

1) (x+11)(x-4)
2) (x - 11)(x-4)
3) (x+4)(x+11)​

Answer 1

Required Answer:-

Given To Factorise:

• x² + 15x + 44

Solution:

Let f(x) = x² + 15x + 44

We need to split 15 into two numbers whose sum is 15 and product is 44.

By trial and error method, we found, 11 × 4 = 44 and 11 + 4 = 15

So,

x² + 15x + 44

= x² + (11 + 4)x + 44

= x² + 11x + 4x + 44

= x(x + 11) + 4(x + 11)

= (x + 4)(x + 11)

★ Hence, the factorised form of polynomial is (x + 4)(x + 11)

Answer:

• Factorised form - (x + 4)(x + 11)

Answer 2

Answer:

answer is option c

Step-by-step explanation:

$x {}^{2} + 11x + 4x+ 44 \\ x(x + 1) + 4(x + 11) \\ (x + 11)(x + 1)$