Standard to Factor Form Practice

What is the Greatest Common Factor of the following polynomial?
12t³ + 30t² + 48t

• 12t

• 6t³

• 6t

• 12t³

Find the greatest common factor of
6x⁴y³ - 12x⁴y² + 6x³y²

• 6

• 6xy

• 6x³y²

• 6x⁹y⁶

Why do we need to find the GCF of polynomials? Choose the BEST option.

• Because Ms. Rice said so

• To simplify the polynomials as much as possible before working with them

• To get rid of stuff

• Because the GCF makes the problem impossible to solve

Given the real zeros 1/3, -1, and 2, write the factors and multiply to put in standard form.

Given the real zeros -3 and 4, write the factors and multiply to put in standard form.

Given the real zeros -1, 2, and 2, write the factors and multiply to put in standard form.

Given the real zeros 1/2 and -3, write the factors and multiply to put in standard form.

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor

• No, it is not a factor

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Use your knowledge on GCF's and Factoring by grouping to factor the following: 30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)