factorise 2x^2+31x-133
Answers
Answer:
hope it helps
Step-by-step explanation:
Factoring 2x2-31x+42
The first term is, 2x2 its coefficient is 2 .
The middle term is, -31x its coefficient is -31 .
The last term, "the constant", is +42
Step-1 : Multiply the coefficient of the first term by the constant 2 • 42 = 84
Step-2 : Find two factors of 84 whose sum equals the coefficient of the middle term, which is -31 .
-84 + -1 = -85
-42 + -2 = -44
-28 + -3 = -31 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -28 and -3
2x2 - 28x - 3x - 42
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-14)
Add up the last 2 terms, pulling out common factors :
3 • (x-14)
Step-5 : Add up the four terms of step 4 :
(2x-3) • (x-14)
Which is the desired factorization