Factoring Polynomials Test

Front

Factor this "special case" quadratic: x² - 36

Back

(x + 6)(x - 6) - This is a difference of squares, which factors as (a² - b²) = (a + b)(a - b).

Front

Factor m² - 13m - 30

Back

(m - 15)(m + 2) - To factor, find two numbers that multiply to -30 and add to -13.

Front

Factor n² + 10n + 25

Back

(n + 5)² - This is a perfect square trinomial, which factors as (a + b)² = a² + 2ab + b².

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) - Used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

What is a polynomial?

Back

A mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, multiplication, and non-negative integer exponents.

Front

Define a quadratic polynomial.

Back

A polynomial of degree 2, typically in the form ax² + bx + c, where a ≠ 0.

Front

What is the difference of squares?

Back

A² - B² = (A + B)(A - B) - A special factoring case where the difference of two squares can be factored.

Front

Factor completely: 5x² + 20x

Back

5x(x + 4) - Factor out the greatest common factor (GCF).

Front

What is the GCF (Greatest Common Factor)?

Back

The largest factor that divides two or more numbers or expressions.

Front

Factor: x² + 6x + 9

Back

(x + 3)² - This is a perfect square trinomial.