Question

Factorise completely p² - 5(p + 1) - (16 - p)

ANSWERS NEEDED ASAP! I WILL MARK YOU AS BRAINLIEST IF ANSWER ACCORDING TO QUESTION

Answer 1

Answer:

P2 -.5p - 5 - 16 + p

P2 -4p - 21

P2 -7p+4p-21(midterm split)

P(p-7)+4(p-7)

Ans=(p-7) (p+4)

Please mark it as brainliest

Please complete your promise

Answer 2

Answer:

(p + 3)(p - 7)

Step-by-step explanation:

=> p² - 5(p + 1) - (16 - p)

=> p² - 5p - 5 - 16 + p

=> p² - 5p + p - 5 - 16

=> p² - 4p - 21

Split the middle term(term with p) in such a way so that the product of those parts become equal to the product of term with p² and constant term. Here parts are 7 & 3.

=> p² - (7 - 3)p - 21

=> p² - 7p + 3p - 21

=> p(p - 7) + 3(p - 7)

=> (p - 7)(p + 3)