factorize t
he quadratic polynomial x²+2x-35 by middle spilitting term
Answers
Step-by-step explanation:
SOLUTION STEPS
x
2
+2x−35
Factor the expression by grouping. First, the expression needs to be rewritten as x
2
+ax+bx−35. To find a and b, set up a system to be solved.
a+b=2
ab=1(−35)=−35
Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −35.
−1,35
−5,7
Calculate the sum for each pair.
−1+35=34
−5+7=2
The solution is the pair that gives sum 2.
a=−5
b=7
Rewrite x
2
+2x−35 as (x
2
−5x)+(7x−35).
(x
2
−5x)+(7x−35)
Factor out x in the first and 7 in the second group.
x(x−5)+7(x−5)
Factor out common term x−5 by using distributive property.
(x−5)(x+7)
EVALUATE
(x−5)(x+7)
Step-by-step explanation:
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