3. Polynomial Expressions, Equations, & Functions

3.01 Operations with polynomials

3.02 Polynomial identities

3.03 Divide polynomials

3.04 Characteristics of polynomial functions

3.05 Zeros and factors

3.06 Solve polynomial equations

United States of America Virginia

Algebra 2

3.06 Solve polynomial equations

Adaptive

Worksheet

Interactive practice questions

Solve the following equation:

$\left(5x-4\right)\left(x+3\right)\left(x-2\right)=0$(5x−4)(x+3)(x−2)=0

Write all solutions on the same line, separated by commas.

Easy

< 1min

Solve the following equation:

$3x^3=5x^2$3x3=5x2

Easy

2min

Given $\left(x-6i\right)$(x−6i) is a factor of the function $f\left(x\right)=x^3+2x^2+36x+72$f(x)=x3+2x2+36x+72.

Medium

1min

Given $x=-5i$x=−5i is a root of the function $f\left(x\right)=x^3+7x^2+25x+175$f(x)=x3+7x2+25x+175.

Medium

1min

Outcomes

A2.EI.6

The student will represent, solve, and interpret the solution to a polynomial equation.

A2.EI.6c

Solve a polynomial equation over the set of complex numbers.

A2.EI.6b

Determine the number and type of solutions (real or imaginary) of a polynomial equation of degree three or higher.

A2.EI.6d

Verify possible solution(s) to polynomial equations of degree three or higher algebraically, graphically, and with technology to justify the reasonableness of answer(s). Explain the solution method and interpret solutions in context.

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