Middle School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Factor completely: [tex]7x^5 - 21x^4 + 14x^3[/tex]

Answer :

Final answer:

The expression 7x^5-21x^4+14x^3 factors completely to 7x^3(x^2 - 3x + 2) by first identifying and pulling out the greatest common factor, 7x^3.

Explanation:

We are trying to factor completely the polynomial 7x^5-21x^4+14x^3. Factoring completely means expressing an algebraic expression as a product of its simplest factors.

The first step in factoring any expression is to identify the greatest common factor. In our problem, the greatest common factor is 7x^3. We can write out all of the terms divided by 7x^3:

7x^5 ÷ 7x^3 = x^2

-21x^4 ÷ 7x^3 = -3x

14x^3 ÷ 7x^3 = 2

We use the above results as the terms for a new polynomial and multiply it by our factor. Here's our completely factored equation:

7x^3(x^2 - 3x + 2)

Learn more about Factoring here:

https://brainly.com/question/34290719

#SPJ3

Answer:

7x³ (x-2) (x-1)

Step-by-step explanation:

7x⁵-21x⁴+14³

= 7x³ (x²-3x+2) <----- factor out the gcf

= 7x³ (x-2) (x-1)