Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the purpose of factoring a quadratic expression?

Back

Factoring a quadratic expression allows us to find its roots or solutions, simplify expressions, and solve equations more easily.

Front

What is the difference between a perfect square trinomial and a regular trinomial?

Back

A perfect square trinomial can be factored into the square of a binomial, while a regular trinomial may not have this property.

Front

How do you factor a quadratic expression of the form ax² + bx + c?

Back

To factor ax² + bx + c, look for two numbers that multiply to ac and add to b, then rewrite the expression using these numbers to group and factor.

Front

What is the factored form of the expression 3x² - 36x + 96?

Back

The factored form is 3(x - 4)(x - 8).

Front

What is the factored form of the expression 49x² + 28x + 4?

Back

The factored form is (7x + 2)².

Front

What is the factored form of the expression 25x² + 60x + 36?

Back

The factored form is (5x + 6)².

Front

What is the factored form of the expression 2x² + 22x + 60?

Back

The factored form is 2(x + 5)(x + 6).

Front

What is the factored form of the expression -3x² - 24x - 21?

Back

The factored form is -3(x + 7)(x + 1).