Factoring Polynomials Quiz

What is the first step in factoring a polynomial completely?

• Finding the Greatest Common Factor (GCF)

• Identifying the type of polynomial

• Rewriting the polynomial in standard form

• Finding the sum of the coefficients

Which of the following is the GCF of the constants 9, 90, and 144?

• 12

• 3

• 18

• 9

After finding the GCF, what is the next step in factoring the polynomial?

• Divide each term by the GCF and rewrite the polynomial

• Add the GCF to each term

• Multiply the polynomial by the GCF

• Subtract the GCF from each term

What is the significance of the GCF in the factoring process?

• It simplifies the polynomial

• It determines the type of polynomial

• It is used to multiply the polynomial

• It is used to add terms together

What is the purpose of setting up two sets of parentheses in the factoring process?

• To simplify the polynomial

• To prepare for finding factor pairs

• To add terms together

• To divide the polynomial into smaller parts

Which factor pairs of 16 are used to achieve a sum of -10?

• 16 and 1

• -4 and -4

• 4 and 4

• -2 and -8

What is the result of multiplying -2 and -8?

• -10

• 16

• -16

• 10

Why can't the factor pair 16 and 1 be used to achieve a sum of -10?

• They result in a sum of 15

• They result in a sum of -17

• They result in a sum of -15

• They result in a sum of 17

What is the final step in the factoring process described in the video?

• Adding the factor pairs

• Writing the factor pairs in the binomials

• Subtracting the factor pairs

• Multiplying the factor pairs

What is the final expression after factoring the polynomial completely?

• 9x(x - 2)(x - 8)

• 9x(x + 2)(x + 8)

• 9x(x - 4)(x - 4)

• 9x(x + 4)(x + 4)