Question

Factor completely 7x^3 - 26x^2-45x

Answer 1

Hey your answer would be x(7x+9)(x-5)

Answer 2

Hello! And thank you for your question!

First find the GCF:

GCF = x

Then factor out the GCF:

x (7x^3/x + -26x^2/x + -45x/x)

Then simplify the terms in parentheses:

x(7x​^2​​−26x−45)

Split the second term is 7x^2-26x - 45:

x(7x^2 + 9x - 35x - 45)

Then factor out common terms in the first two terms, then in the last two terms:

x(x(7x+9)-5(7x+9))

Finally factor out the common term 7x + 9:

x(7x+9)(x-5)

Final Answer:

x(7x + 9)(x - 5)