Factor as the product of two binomials. x2 – X – 42 -
Answers
Answer:
Factoring x2-x-42
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1
The last term, "the constant", is -42
Multiply the coefficient of the first term by the constant 1 • -42 = -42
Find two factors of -42 whose sum equals the coefficient of the middle term, which is -1 .
-42 + 1 = -41
-21 + 2 = -19
-14 + 3 = -11
-7 + 6 = -1
That's it
Rewrite the polynomial splitting the middle term using the two factors found in
2 above, -7 and 6
x2 - 7x + 6x - 42
Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the four terms of step 4 : (x+6) • (x-7)
Add up the four terms of step 4 : (x+6) • (x-7)
Which is the desired factorization
Final result is
(x + 6) • (x - 7)
Answer:
(x + 6) • (x - 7)
Step-by-step explanation:
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