Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Factor out the greatest common factor. Simplify the factors, if possible.6x4 - 42x3 + 12x2Select the correct choice below and fill in any answer boxes in your choice.O A. 6x4 - 42x3 + 12x2 =(Type your answer in factored form.)OB. There is no common factor other than 1.ih

Sagot :

You have to find the greatest common factor first.

To do so, do as follows:

[tex]6x^4-42x^3+12x^2[/tex]

Factors of 6 are: 1, 2, 3, 6

Factors of 12 are: 1, 2, 3, 4, 6, 12

Factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The greates common factor is the greatest common factor shared by all values, in this case is 6

Now to factor it out you have to divide each term of the equation by it.

[tex](\frac{6x^4}{6})=x^4[/tex][tex](\frac{42x^3}{6})=7x^3[/tex][tex](\frac{12x^2}{6})=2x^2[/tex]

The expression with the GCF factorized is then:

[tex]6(x^4-7x^3+2x^2)[/tex]

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.