factorise the following. p^2+p - 12
Answers
Answer:
p² + p - 12
- p² - 3p + 4p - 12
- p ( p - 3 ) + 4 ( p - 3)
- ( p + 4 ) ( p - 3 )
Factors Are -
p = - 4 and + 3
Answer:
Step-by-step explanation: 1.1 Factoring p2-p-12
The first term is, p2 its coefficient is 1 .
The middle term is, -p its coefficient is -1 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -1 .
-12 + 1 = -11
-6 + 2 = -4
-4 + 3 = -1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 3
p2 - 4p + 3p - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
p • (p-4)
Add up the last 2 terms, pulling out common factors :
3 • (p-4)
Step-5 : Add up the four terms of step 4 :
(p+3) • (p-4)
Which is the