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Mathematics Grade 10 Unit 2: Polynomial Functions
national exam questions have come from this unit. It runs 54 pages; one careful study pass takes about 4.1 hours, and its difficulty is moderate among Mathematics units. Each section below lists the questions set from it, with the year, and opens the page that teaches it.
2.1 Definition of Polynomial Function · read p. 68
- 2017 E.C., Q42 – Given the polynomial function $p(x) = 5x^2 - x^3 - \sqrt{2}$. Then what are the degree, leading coefficient and constant term of the polynomial function $p(x)$ respectively?
- 2016 E.C., Q13 – Which one of the following is the definition of a polynomial function?
- 2016 E.C., Q8 – Which one of the following is the definition of a polynomial function? f(x) = a x + n n a x + n−1 n−1 ... + a x + 1 a 0 n an 0 a , a , ..., a ∈ 0 1 n R
2.2 Operations on polynomial functions …… · read p. 74
- 2017 E.C., Q26 – When the Division Algorithm is applied to the fraction $\frac{283}{20}$, then which one of the following is the corresponding representation?
- 2017 E.C., Q8 – Let $f(x)=x^3+2x+1$ and $g(x)=x^2+1$ be given two polynomial functions. Then which of the following is true?
- 2016 E.C., Q30 – Which one of the following is equal to the polynomial function $f(x)=x^2+4x+4$?
- 2015 E.C., Q5 – If the polynomial $f(x)=x^4-9x^2+22$ is divided by $x-2$, which one of the following are the quotient and remainder respectively?
- 2015 E.C., Q8 – The solution set of the equation $3|2x-4|=6-2|1-5x|$ is
- 2014 E.C., Q6 – What are the quotient and remainder respectively, when 75 is divided by 20?
2.3 Theorem on polynomial functions ……… · read p. 90
- 2017 E.C., Q2 – Let $f(x)$ be a polynomial of degree at least 1, $g(x)$ be a non-zero polynomial and $c \in \mathbb{R}$. Which of the following states the Factor Theorem?
2.4 Zeros of polynomial functions · read p. 93
- 2017 E.C., Q40 – Let such that and be a polynomial function. Then which one of the following statement states the location theorem?
- 2017 E.C., Q38 – Let such that and be a polynomial function. Then which one of the following statement states the location theorem?
- 2015 E.C., Q52 – Which of the following is true about the zero(s) of a function f(x)?
- 2015 E.C., Q34 – Which one of the following is true about the zeros of a function?
- 2014 E.C., Q47 – Consider the function f(x) = x 2 - 3x on [-1, 2]. What is the value x that satisfies the Mean Value Theorem?
2.5 Graphs of polynomial functions · read p. 101
- 2015 E.C., Q25 – Which of the following line is true about the intercept and symmetry of the graph of $f(x)=\frac{x^3-3x}{x^2-6}$?
- 2013 E.C., Q36 – Which of the following is true about the zero of a function?
2.6 Applications · read p. 112
Not asked in a national paper yet.