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NY-A.APR.2
Algebra IIArithmetic with Polynomial Expressions60 target questions

Know and apply the Remainder Theorem: for a polynomial p(x) and a number a the remainder on division by x - a is p(a). If p(a) = 0 then (x - a) is a factor of p(x).

Sample Practice Questions (3)

1
The graph of a polynomial is shown below with its x-intercepts labeled. Which of the following binomials must be a factor of ?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y (-2,0) (1,0) (3,0)
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
2
The graph of the polynomial is shown below. Which of the following expressions is a factor of ?
-3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y (1, -4)
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
3
The graph of the polynomial is shown in the coordinate plane. Based on the x-intercepts, which of the following is a factor of ?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y A B C D
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
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More Algebra II Standards

NY-A.SSE.2-AIIUse the structure of an expression to identify ways to rewrite it. Apply to polynomial and rational expressions in the context of Algebra II.→NY-A.SSE.4Derive the formula for the sum of a finite geometric series and use the formula to solve problems.→NY-A.APR.3Identify zeros of polynomials when suitable factorizations are available and use the zeros to construct a rough graph of the function defined by the polynomial.→NY-A.APR.4Prove polynomial identities and use them to describe numerical relationships.→
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