Question

Can someone help me on this question please? Factorize x²-5x-6

Answer 1

Answer：

x²-5x-6

Factor the expression by grouping. First, the expression needs to be rewritten as x²+ax+bx-6 to find a and b, set up a system to be solved.

a+d=-5

a+d=-5ab=1(-6)=-6

Since ab is negative, a and b have the opposite signs. Since a+b is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product -6.

1,-6

1,-62,-3

Calculate the sum for each pair.

1−6=−5

1−6=−52-3=-1

The solution is the pair that gives sum -5.

a=-6

b=1

Rewrite x²5x-6 as

(x²-6x)+(x-6)

Factor out x in x²-6x.

x(x-6)+x-6

Factor out common term x−6 by using distributive property.

(x-6)(x+1)

DONE

Answer 2

Answer: (x−6)(x+1)

Step-by-step explanation:

Ask: Which two numbers add up to −5 and multiply to −6?

Answer: −6 and 1

Rewrite the expression using the above.

You will get (x−6)(x+1)