Question

-x²+7x+8 factise each of the following​

Answer 1

Answer:

x  

2

−7x−8

Factor the expression by grouping. First, the expression needs to be rewritten as x  

2

+ax+bx−8. To find a and b, set up a system to be solved.

a+b=−7

ab=1(−8)=−8

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 −8.

1,−8

2,−4

Calculate the sum for each pair.

1−8=−7

2−4=−2

The solution is the pair that gives sum −7.

a=−8

b=1

Rewrite x  

2

−7x−8 as (x  

2

−8x)+(x−8).

(x  

2

−8x)+(x−8)

Factor out x in x  

2

−8x.

x(x−8)+x−8

Factor out common term x−8 by using distributive property.

(x−8)(x+1)

Explanation:

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Answer 2

Answer:

x²+7x+8

x²+8x-1x+8

x(x-8)1(x+8)

(X-8)(-x+1)

(X-8)(1-x)