P 2 + p – 56 factorize – InterviewSolution

1.	P 2 + p – 56 factorize
Answer» 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)

P 2 + p – 56 factorize

Answer»

Answer:

(p+8) • (p-7)

Step-by-step explanation:

Answer

2.8/5

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)