Worksheet: Evaluating a Polynomial Function for Variables and Algebraic Expressions

In this worksheet, we will practice evaluating polynomial functions for variables and algebraic expressions.

Q1:

Consider the polynomial function 𝑓 ( 𝑥 ) = 7 𝑥 + 2 𝑥 + 𝑥 2 𝑥 + 2 5 4 3 2 .

Evaluate 𝑓 ( 2 ) .

Evaluate 𝑓 ( 2 ) .

Q2:

Consider the polynomial function 𝑓 ( 𝑥 ) = 2 𝑥 + 5 𝑥 7 𝑥 + 1 0 3 2 . Evaluate 𝑓 𝑥 + 1 2 .

  • A 2 𝑥 + 9 𝑥 + 2 𝑥 + 1 0 6 4 2
  • B 2 𝑥 + 5 𝑥 7 𝑥 + 1 0 6 4 2
  • C 2 𝑥 + 1 1 𝑥 + 2 3 𝑥 + 2 4 6 4 2
  • D 2 𝑥 + 1 1 𝑥 + 9 𝑥 + 1 0 6 4 2
  • E 2 𝑥 + 5 𝑥 + 7 𝑥 + 2 4 6 4 2

Q3:

Consider the function 𝑓 ( 𝑥 ) = 𝑥 3 𝑥 4 2 . Find 𝑓 ( 𝑥 + 3 ) .

  • A 𝑓 ( 𝑥 + 3 ) = 𝑥 3 𝑥 2
  • B 𝑓 ( 𝑥 + 3 ) = 𝑥 + 3 𝑥 + 1 2
  • C 𝑓 ( 𝑥 + 3 ) = 𝑥 3 𝑥 1 2
  • D 𝑓 ( 𝑥 + 3 ) = 𝑥 + 3 𝑥 4 2

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