Question

Which binomial is a factor of 100x2 – 49?

a
O 10x + 7
O 25% - 7
O 25x + 49
O 203 – 49
-

Answer 1

Explanation:

What you have here is called "the difference of two squares"

Difference means subtraction and both 100x2 and 49 are perfect squares.

The factored form of 100x2-49 is

(10x+7)(10x-7)

Because 10x times 10x is 100x2 and 7 times 7 is 49

One factor has a + and

One factor has a -

It is a pattern worth memorizing!

So 10x + 7 is the factor you're looking for.