Question

factoriese x²‐6x‐40 step by step answer please ​

Answer 1

Step-by-step explanation:

x2 - 6x -40

x2 -10x+4x -40

x( x-10) +4(x-10)

(x+4)(x-10)

X = 10

X = -4

Answer 2

Required Answer:-

Given to factorise:

• x² - 6x - 40

Solution:

We have,

x² - 6x - 40

We need to split -6 into two parts such that sum of those parts is -6 and their product is -40.

We found that,

• -10 + 4 = -6
• -10 × 4 = -40

So,

x² - 6x - 40

= x² - 10x + 4x - 40

Now, factorise.

= x(x - 10) + 4(x - 10)

= (x + 4)(x - 10)

★ Hence, the factorised form is (x + 4)(x - 10)

Answer:

• The factorised form of the polynomial is (x + 4)(x - 10)