Alg2CP Unit 4: Retention Station

Front

What is the result of multiplying the polynomials \( (2x)(x+6) \)?

Back

The result is \( 2x^2 + 12x \).

Front

What is the result of multiplying the polynomials \( (x+2)(x-3) \)?

Back

The result is \( x^2 - x - 6 \).

Front

What is the result of subtracting the polynomials \( (4x^2 + 8x - 4) - (3x^2 + 3x - 14) \)?

Back

The result is \( x^2 + 5x + 10 \).

Front

What does GCF stand for in polynomial expressions?

Back

GCF stands for Greatest Common Factor.

Front

How do you factor out the GCF from \( 2a^2b^3 + 14ab^2 - 12ab \)?

Back

The GCF is \( 2ab \), and the factored form is \( 2ab(a^2b^2 + 7b - 6) \).

Front

How do you factor out the GCF from \( 3x^2y^3 + 6xy^2 - 2y \)?

Back

The GCF is \( y \), and the factored form is \( y(3x^2y^2 + 6xy - 2) \).

Front

What is the distributive property in algebra?

Back

The distributive property states that \( a(b + c) = ab + ac \).

Front

What is the formula for multiplying two binomials \( (a + b)(c + d) \)?

Back

The formula is \( ac + ad + bc + bd \).

Front

What is the result of multiplying the polynomials \( (x + 1)(x + 1) \)?

Back

The result is \( x^2 + 2x + 1 \).

Front

What is the result of multiplying the polynomials \( (x - 2)(x + 3) \)?

Back

The result is \( x^2 + x - 6 \).