Question Factor completely. 5x^2-36x+7 square

Question

Question Factor completely. 5x^2-36x+7 square

Answer 1

To factor the quadratic expression

completely, we need to find two binomials whose product gives us the original quadratic expression.The general form of factoring a quadratic expression

is:

For our specific quadratic expression

, we need to find two numbers that multiply to

and add up to

.Let's denote these two numbers as

and

. We need:

By examining the pairs of factors of 35, we find:-

and

-

and \(-1 + (-35) = -36\)Thus, the correct pair is

and

.Now, we rewrite the middle term

using these two numbers:

Next, we group the terms:

We factor out the greatest common factor (GCF) from each group:

Now, we factor out the common binomial factor \((5x - 1)\):

Therefore, the completely factored form of

is:

Question

Question Factor completely. 5x^2-36x+7 square

Solution

Resposta