x2 + 22x +85 solve
Answers
Answer:
2x+22x+85
= 24x+85
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Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -22x its coefficient is -22 .
The last term, "the constant", is +85
Step-1 : Multiply the coefficient of the first term by the constant 1 • 85 = 85
Step-2 : Find two factors of 85 whose sum equals the coefficient of the middle term, which is -22 .
-85 + -1 = -86
-17 + -5 = -22 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -17 and -5
x2 - 17x - 5x - 85
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-17)
Add up the last 2 terms, pulling out common factors :
5 • (x-17)
Step-5 : Add up the four terms of step 4 :
(x-5) • (x-17)
Which is the desired factorization