Question

factorize the expression by splitting the middle term: x^2-x-42​

Answer 1

Answer:

x²-x-42=0

x²-7x+6x-42=0

(x²-7x)+(6x-42)=0

x(x-7)+6(x-7)=0

(x-7)(x+6)=0

Answer 2

Answer:

x = 6 or x = −7

Step-by-step explanation:

Lets take it to the general form first

→x² - x - 42 =0

To find the roots.

We need to first factorise it.

We will use the middle term splitting method.

therefore, we will get,

→x² + 7x - 6x - 42 =0

Taking out common terms, we have,

→x(x + 7) - 6(x + 7) = 0

→(x − 6)(x + 7) = 0

Now,

→(x − 6)=0 or (x + 7)=0

→x = 6 or x = −7

therefore, x = 6 or x = −7

.

.

hope it helps.

please mark me as a brainlist