7x2+43x+36 please answer by steps. thanks. and asap
Answers
Answer:
Step-by-step explanation:
Factoring 7x2-48x+36
The first term is, 7x2 its coefficient is 7 .
The middle term is, -48x its coefficient is -48 .
The last term, "the constant", is +36
Step-1 : Multiply the coefficient of the first term by the constant 7 • 36 = 252
Step-2 : Find two factors of 252 whose sum equals the coefficient of the middle term, which is -48 .
-252 + -1 = -253
-126 + -2 = -128
-84 + -3 = -87
-63 + -4 = -67
-42 + -6 = -48 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -42 and -6
7x2 - 42x - 6x - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
7x • (x-6)
Add up the last 2 terms, pulling out common factors :
6 • (x-6)
Step-5 : Add up the four terms of step 4 :
(7x-6) • (x-6)
Which is the desired factorization
Final result :
(x - 6) • (7x - 6)