1) x2 + 14x + 45 = 0
Answers
Step-by-step explanation:
Factoring x2-14x+45
The first term is, x2 its coefficient is 1 .
The middle term is, -14x its coefficient is -14 .
The last term, "the constant", is +45
Step-1 : Multiply the coefficient of the first term by the constant 1 • 45 = 45
Step-2 : Find two factors of 45 whose sum equals the coefficient of the middle term, which is -14 .
-45 + -1 = -46
-15 + -3 = -18
-9 + -5 = -14 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -5
x2 - 9x - 5x - 45
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-9)
Add up the last 2 terms, pulling out common factors :
5 • (x-9)
Step-5 : Add up the four terms of step 4 :
(x-5) • (x-9)
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