2. Polynomials

2.01 Adding and subtracting polynomials

2.02 Multiplying a polynomial by a monomial

2.03 Multiplying polynomials

2.04 Special products

2.05 Factoring out the greatest common factor (GCF)

2.06 Factoring trinomials

2.07 Factoring with special products

2.08 Dividing polynomials

2.09 Completing the square

2.10 Complex numbers

2.11 Polynomial identities and complex numbers

United States of America OH

Math 2

2.06 Factoring trinomials

Interactive practice questions

Determine which of the following expressions are in factored form. Select all the correct options.

$-5\left(2y+z\right)-b\left(2y+z\right)$−5(2y+z)−b(2y+z)

A

$\left(a+7\right)\left(a+2\right)$(a+7)(a+2)

B

$\left(x-5\right)\left(x+y\right)$(x−5)(x+y)

C

$3x\left(a+2b\right)+2\left(a+2b\right)$3x(a+2b)+2(a+2b)

D

Easy

< 1min

Consider $\left(x+2\right)\left(y-9\right)$(x+2)(y−9) and $xy-9x+2y-18$xy−9x+2y−18.

Easy

1min

Consider $\left(8-x\right)\left(7-y\right)$(8−x)(7−y) and $56-8y-7x+xy$56−8y−7x+xy.

Easy

1min

Factor the following expression by taking out the common factor:

$5\left(a+b\right)+v\left(a+b\right)$5(a+b)+v(a+b)

Easy

< 1min

Outcomes

A.SSE.1.a

Interpret parts of an expression, such as terms, factors, and coefficients.

A.SSE.2

Use the structure of an expression to identify ways to rewrite it. For example, to factor 3x(x − 5) + 2(x − 5), students should recognize that the "x − 5" is common to both expressions being added, so it simplifies to (3x + 2)(x − 5); or see x^4 − y^4 as (x2)^2 − (y2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 − y^2)(x^2 + y^2).

A.SSE.3a

Factor a quadratic expression to reveal the zeros of the function it defines.

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