Factoring

Front

Factor the expression: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor the expression: n² + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the expression: x² - 16

Back

(x - 4)(x + 4)

Front

Factor the expression: r² - 16r + 60

Back

(r - 6)(r - 10)

Front

Factor the trinomial: x² - 8x + 15

Back

(x - 5)(x - 3)

Front

What is factoring in algebra?

Back

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

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where an expression is in the form a² - b², which factors to (a - b)(a + b).

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.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to ac (the product of a and c) and add to b (the coefficient of x).