Question

question 1
1 pts
what does it mean to \factor\ an expression?
\factoring\ is writing an expression as multiplication
\factoring\ means taking out the greatest common factor (gcf)
\factoring\ means distributing
\factoring\ is writing an expressions as addition and subtraction
question 2
1 pts
what is the greatest common factor (gcf) of the following expression?
25x^2y^4 - 15x
15xy
5xy
25x^2y^4
25xy
5x

Explanation:

Question 1:

Step1: Recall factoring definition

Factoring is expressing an expression as a product (multiplication of factors). Taking out the GCF is one - type of factoring but not the full definition. Distributing is the opposite of factoring and writing as addition/subtraction is not factoring.

Question 2:

Step1: Find GCF of coefficients

The coefficients of the terms $25x^{2}y^{4}-15x$ are 25 and 15. The GCF of 25 and 15 is 5.

Step2: Find GCF of variables

For the variable part, both terms have $x$. The first term has $x^{2}y^{4}$ and the second has $x$. The common variable factor is $x$. So the GCF of the two - term expression is $5x$.

Answer:

Question 1: "Factoring" is writing an expression as multiplication
Question 2: $5x$