CCSS HSA-APR.B.3 Worksheets
Algebra 2 · Arithmetic with Polynomials & Rational Expressions
Identify the zeros of polynomials when suitable factorizations are available, and use the zeros, together with end behavior and root multiplicity, to construct a rough graph of the polynomial function.
Below are free printable worksheets that support HSA-APR.B.3. Print them as PDFs, or generate a fresh one. Every math answer key is computed in code, so it is never wrong.
Teaching guide
What students learn
Identify the zeros of polynomials when suitable factorizations are available, and use the zeros, together with end behavior and root multiplicity, to construct a rough graph of the polynomial function.
Worked example
Find all real zeros of P(x) = x³ + x² - 9x - 9.
Answer: x = -3, -1, 3
Why: Factor completely: P(x) = (x - 3)(x + 3)(x + 1). Set each factor equal to 0. The real zeros are x = -3, -1, 3.
Generated and checked in code, so it is correct.
Algebra worksheets
All algebra worksheets →Algebra worksheets
All algebra worksheets →More Algebra 2 standards: HSF-IF.A.3 · HSF-BF.A.2 · HSA-SSE.B.4 · HSA-REI.C.6 · HSA-REI.C.7 · HSA-REI.C.8 · HSN-VM.C.7 · HSN-VM.C.8