Solving Systems of Equations in Three Variables — Unit test Answers

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 9924x3 + 44x − 54x2 − 994x(____) − 9(____)What is the common factor that is missing from both sets of parentheses?

Which expression is equivalent to ?

Subtract 15mn – 22m +2n from 14mn – 12m +7n.

Which expression is equivalent to 64y18 – 1000z6?

Which expression is equivalent to ?

Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring?10x3+3x2−20x−6(10x3+3x2)+(−20x−6)

Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.Step 1: (3x3 – 15x2) + (–4x + 20)Step 2: 3x2(x – 5) + 4(–x + 5)

The length of a rectangular field is represented by the expression . The width of the field is represented by the expression . How much greater is the length of the field than the width?

Which expression is equivalent to ?

Miguel stated that any monomial can be a cube root. Sylvia disagreed and said that a monomial cube root must have exponents divisible by 3. Who is correct, and why?

Which monomial is a perfect cube?

Which product of prime polynomials is equivalent to 4x5 – 6x4 + 4x3 – 6x2?

What is the factorization of g3 – 125?

What is the greatest common factor of the terms in the polynomial 12x4 + 2x3 –30x2?

Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 – 22x2 – 9x + 33. Her work is shown.Step 1: (6x3 – 22x2) – (9x + 33)Step 2: 2x2(3x – 11) – 3(3x + 11)