11-21 Factoring TEST

Front

What is the formula for factoring a difference of cubes?

Back

The formula for factoring a difference of cubes is: a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Front

Factor the expression: x^3 - 343.

Back

(x - 7)(x^2 + 7x + 49)

Front

What is the formula for factoring a sum of cubes?

Back

The formula for factoring a sum of cubes is: a^3 + b^3 = (a + b)(a^2 - ab + b^2).

Front

Factor the expression: 4x^3 + 2x^2 - 6x.

Back

2x(2x + 3)(x - 1)

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for a common factor in all terms.

Front

Factor the expression: 8x^2 - 200.

Back

8(x + 5)(x - 5)

Front

What is the difference of squares formula?

Back

The difference of squares formula is: a^2 - b^2 = (a - b)(a + b).

Front

Factor the expression: 4x^2 + 24x - 64.

Back

4(x + 8)(x - 2)

Front

What is the significance of the leading coefficient in polynomial factoring?

Back

The leading coefficient affects the overall shape and direction of the polynomial's graph.

Front

Factor the expression: x^3 + 512.

Back

(x + 8)(x^2 - 8x + 64)