Factoring Polynomials

Front

What is factoring in mathematics?

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 a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the difference between a monomial, binomial, and trinomial?

Back

A monomial has one term, a binomial has two terms, and a trinomial has three terms.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

How do you factor a sum of cubes?

Back

The sum of cubes can be factored using the formula: a³ + b³ = (a + b)(a² - ab + b²).

Tags

CCSS.HSA.APR.C.4

Front

How do you factor a difference of cubes?

Back

The difference of cubes can be factored using the formula: a³ - b³ = (a - b)(a² + ab + b²).

Tags

CCSS.HSA.APR.C.4

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation ax² + bx + c = 0, and is given by x = (-b ± √(b² - 4ac)) / (2a).

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CCSS.HSA-REI.B.4B

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression of the form ax² + bx + c, find two numbers that multiply to ac and add to b, then rewrite the expression using these numbers.

Front

What is the process of factoring by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor out common factors from each group.

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as a² + 2ab + b² = (a + b)².

Tags

CCSS.HSA.APR.C.4