Factoring Trinomials by Grouping Intro

Front

What is the standard form of a quadratic equation?

Back

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

Front

What does it mean to factor a trinomial?

Back

Factoring a trinomial means rewriting it as a product of two binomials.

Front

What is the first step in factoring a trinomial by grouping?

Back

The first step is to multiply the 'a' term by the 'c' term.

Front

What do you look for after multiplying 'a' and 'c'?

Back

You look for two numbers that multiply to 'a' times 'c' and add to 'b'.

Tags

CCSS.HSA-REI.B.4B

Front

If a = 1, b = -7, and c = -8, what are the two numbers that multiply to -8 and add to -7?

Back

The two numbers are -8 and 1.

Front

What is the purpose of grouping in factoring?

Back

Grouping helps to rearrange and combine terms to factor out common factors.

Front

How do you check if your factors are correct?

Back

You can check by multiplying the factors back together to see if you get the original trinomial.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms.

Front

What is the relationship between the coefficients and the roots of a quadratic equation?

Back

The sum of the roots is equal to -b/a and the product of the roots is equal to c/a.

Tags

CCSS.HSA-REI.B.4B

Front

What is the significance of the 'a' term in a quadratic equation?

Back

The 'a' term determines the direction and width of the parabola.

Tags

CCSS.HSF-IF.C.7A