💥 Q2 : Prep 3 Algebra Question Bank T1

a) The function \( f: \mathbb{R} \rightarrow \mathbb{R} \) defined by \( f(x) = x^3 - (x^3 - 3x) \) is a polynomial function of the ........ degree.

(a) third

(b) second

(c) first

(d) fourth

MR/Nasef.N

b) The function \( f: \mathbb{R} \rightarrow \mathbb{R} \) defined by \( f(x) = x^2 (x - 3x)^2 \) is a polynomial function of the ........ degree.

(a) first

(b) second

(c) third

(d) fourth

MR/Nasef.N

c) The function \( f: \mathbb{R} \rightarrow \mathbb{R} \) defined by \( f(x) = (x - 5)^3 \) is a polynomial function of the ........ degree.

(a) zero

(b) second

(c) third

(d) fourth

MR/Nasef.N

d) If \( f(x) = x^n - 2 \) and \( f(3) = 7 \), then \( f(x) \) is of the ........ degree.

(a) first

(b) second

(c) third

(d) fourth