Question
3 Multiple Choice 3 points Factor out the GCF from the following. 5x^2+20x-15 3(x^2+4x+5) 5(x+3)(x-1) x(5x+20-3) 5(x^2+4x-3)
Solution
4.3
(270 Votos)
Alejandro
Veterano · Tutor por 10 anos
Resposta
To factor out the greatest common factor (GCF) from the given expression
, let's follow these steps:---### Step 1: Identify the GCFThe terms in the expression are:
The coefficients are
and
. The GCF of these coefficients is **5**. Additionally, all terms involve powers of
, but not all terms have
as a factor (e.g.,
does not include
). Therefore, the GCF is **5**.---### Step 2: Factor out the GCFDivide each term by
:
---### Step 3: Verify the Factored FormDistribute
back to ensure correctness:
This matches the original expression.---### Final Answer:The correct factored form is:
Thus, the correct choice is: