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Write the polynomial in factored form PICK A B C D

Write the polynomial in factored form PICK A B C D-example-1
User ObAt
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Factorization of Polynomials

We'll use different techniques to factorize the following polynomial:


6x^3-60x^2+144x

First, we factor out the greatest possible number with the greatest possible power of the variable. This is called the GCF or the greatest common factor.

All the numbers are multiples of 6 and all of the terms have the variable x. The GCF of the three terms is 6x, thus:


6x^3-60x^2+144x=6x(x^2-10x+24)

Now we need to factorize the polynomial in parentheses. The inspection method requires us to find two numbers that add up to -10 and their product is 24. These numbers are -4 and -6. Thus the polynomial can be factored as:


6x^3-60x^2+144x=6x(x-4)(x-6)

This corresponds to option d

User Arnas
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