Factoring Polynomials: Sum and Difference of Cubes Quiz

Which monomial is a perfect cube?

A. 1x^3

Which statements are true about a perfect cube monomial and its roots? check all that apply.

A. A perfect cube monomial must have exponents on the variables. D. Any monomial can be a perfect cube root. F. it must be possible for the coefficient of a perfect cube monomial to be written in the form n^3, where n equals the cube root of the coefficient.

which is a difference of cubes?

A. x^6 - 27

What is the factorization of 729x15 + 1000? (9x5 + 10)(81x10 - 90x5 + 100) (9x5 + 10)(81x5 - 90x10 + 100) (9x3 + 10)(81x6 - 90x6 + 100) (9x3 + 10)(81x9 - 90x3 + 100)

A

Which expression is equivalent to 3√343x^9y^12z^6? 7x3y4z2 7x3y6z2 49x3y6z2 49x3y4z2

A

What is the cube root of 27x^18? 3x6 3x9 9x6 9x9

A

Which expression is equivalent to cbrt 216x3y6z12? 6xy2z4 18xy3z6 36xy2z4 72xy3z6

A

Which is the factorization of x3 + 8? (x + 2)(x2 - 2x + 4) (x - 2)(x2 + 2x + 4) (x + 2)(x2 - 2x + 8) (x - 2)(x2 + 2x + 8)

A

Hank's teacher asked him to verify that the product (y−3)(y2+3y+9) is a difference of cubes. He used the distributive property to multiply the binomial times the trinomial. Before simplifying, his product was a polynomial of the form y3+3y2+ay−3y2−ay−27. What is the value of a in the polynomial? 3 9 18 27

B

What is the factorization of 216x^12 - 64? (6x3 - 4)(36x6 + 24x3 + 16) (6x3 - 4)(36x9 + 24x3 + 16) (6x4 - 4)(36x8 + 24x4 + 16) (6x4 - 4)(36x12 + 24x4 + 16)

C

Which product will result in a sum or difference of cubes? (x + 7)(x2 - 7x + 14) (x + 8)(x2 + 8x + 64) (x - 9)(x2 + 9x + 81) (x - 10)(x2 - 10x + 100)

C

The factorization of 8x3 - 125 is (2x - 5)(jx2 + kx + 25). What are the values of j and k? j = 6 and k = -10 j = 8 and k = 10 j = 4 and k = 25 j = 4 and k = 10

D

What is 125x9 + 64y12 written as a sum of cubes? (25x3)3 + (4y4)3 (5x3)3 + (16y4)3 (25x3)3 + (8y4)3 (5x3)3 + (4y4)3

NOT A

Which monomial is a perfect cube?

NOT A. 49p^9q^3r^24