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Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression?

(3 – 7x)(x2 – 3)
(7x – 3)(3 + x2)
(3 – 7x2)(x – 3)
(7x2 – 3)(3 + x)


Sagot :

Answer:

(3–7x²)(x–3)

Step-by-step explanation:

If you apply the distributive property in (3–7x²)(x–3), you obtain:  

3x-9-7x²(x)+21x²

3x-9-7x³+21x²

 

When you order the expression, you have:  

-7x³+21x²+3x-9

 

Then, the answer is (3–7x²)(x–3)

The resulting expression from the given algebra after grouping is; C: (3 – 7x²)(x – 3)

What is the resulting algebra expression?

We want to simplify the algebraic expression; -7x³ + 21x² + 3x - 9

Applying distributive property of algebra, we have;

-7x²(x - 3) + 3(x - 3)

By factorization, we have;

(3 – 7x²)(x – 3)

Looking at the options, only option C is correct

Read more about Algebra Expression at; https://brainly.com/question/4344214