-x²+7x+8 factise each of the following
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0
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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Answered by
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Answer:
x²+7x+8
x²+8x-1x+8
x(x-8)1(x+8)
(X-8)(-x+1)
(X-8)(1-x)
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