Question

p 2 + p – 56 factorize

Answer 1

Answer:

(p+8) • (p-7)

Step-by-step explanation:

Log in to add comment

Answer

2.8/5

11

arpitdesh04

Virtuoso

74 answers

5K people helped

The first term is, p2 its coefficient is 1 .

The middle term is, +p its coefficient is 1 .

The last term, "the constant", is -56

Step-1 : Multiply the coefficient of the first term by the constant 1 • -56 = -56

Step-2 : Find two factors of -56 whose sum equals the coefficient of the middle term, which is 1 .

-56 + 1 = -55 -28 + 2 = -26 -14 + 4 = -10 -8 + 7 = -1 -7 + 8 = 1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 8

p2 - 7p + 8p - 56

Step-4 : Add up the first 2 terms, pulling out like factors :

p • (p-7)

Add up the last 2 terms, pulling out common factors :

8 • (p-7)

Step-5 : Add up the four terms of step 4 :

(p+8) • (p-7)