Factor Completely. 12p2+20p−8
12
p
2
+
20
p
−
8
(1 point)
Responses
3 answers
4(3p+2)(p-1)
is this the answer
Apologies for the confusion in the response. Let's correctly factor the expression:
12p^2 + 20p - 8
First, we look for the greatest common factor of all terms, which in this case is 4:
4(3p^2 + 5p - 2)
Now, we need to factor the quadratic trinomial inside the parentheses:
4(3p^2 + 6p - p - 2)
4(3p(p + 2) - 1(p + 2))
4(3p - 1)(p + 2)
So, the correct factored form of 12p^2 + 20p - 8 is 4(3p - 1)(p + 2).
12p^2 + 20p - 8
First, we look for the greatest common factor of all terms, which in this case is 4:
4(3p^2 + 5p - 2)
Now, we need to factor the quadratic trinomial inside the parentheses:
4(3p^2 + 6p - p - 2)
4(3p(p + 2) - 1(p + 2))
4(3p - 1)(p + 2)
So, the correct factored form of 12p^2 + 20p - 8 is 4(3p - 1)(p + 2).