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Need to get my answers double checked!!!.. what would be the answer?

Need To Get My Answers Double Checked What Would Be The Answer class=

Sagot :

Answer: 3x + 1

Explanation:

The given expression is

(3x^2 + 22x + 7)/(x + 7)

The first step is to factorize the numerator, (3x^2 + 22x + 7)

This is a quadratic expression. We would solve by applying the method of factorization. The first step is to multiply 3x^2 with 7. It becomes 21x^2. We would find two terms such that their sum or difference is 22x and their product is 21^2. The terms are 21x and x. By replacing 22x with 21x + x, we have

3x^2 + 21x + x + 7

We would factorize by groupin. we havve

3x(x + 7) + 1(x +7)

(3x + 1)(x + 7)

Thus the original expression becomes

(3x + 1)(x + 7)/(x + 7)

(x + 7) cancels out

it becomes 3x + 1

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