Question 1

Which of the following consist of all polynomial expressions? (1 mark) [4]

Accepted Answer

$(x^2-4), ( a+b) , (p^3+p^2-p)$

Answer

$(x^2-4), ( ab^3) , (p^3-p)$

Answer

$(x^2), ( a+b) , (p^2+p-1)$

Answer

$(1-q), ( ab+c) , (p^2q)$

Question 2

Which of the following consist of all monomial expressions?  (1 mark) [4]

Accepted Answer

$(ab^3c), 1, (3q)$

Answer

$(ad+2), 50, (3q-2)$

Answer

$(ab^3-c), p, (3q)$

Answer

$(ab^3c), (1-w), (3q)$

Question 3

Simplify $(x-2y+3)	imes(-5x^2)$. [1 mark][3]

Accepted Answer

$-5x^3+10x^2y-15x^2$

Answer

$5x^3-10x^2y-15x^2$

Answer

$-x^3+10x^2y+15x^2$

Answer

$-5x^3+x^2y-5x^2$

Question 4

Simplify $(\frac{1}{2}x^2y-\frac{2}{3}xy^2+\frac{5}{6}xy)\div\frac{1}{6}xy$ [1 mark][3]

Accepted Answer

$3x-4y+5$

Answer

$\frac{1}{12}x- \frac{1}{9}y+\frac{5}{36}$

Answer

$-3x-4y+5$

Answer

$\frac{1}{12}x+ \frac{1}{9}y-5$

Question 5

Simplify $\frac{a}{2}(a-4b)+\frac{a}{5}(2a+3b)$. [2 marks] [3]

Accepted Answer

$\frac{9a^2-14ab}{10}$

Answer

$\frac{2a^2-7ab}{20}$

Answer

$\frac{9a^2+14ab}{10}$

Answer

$\frac{3a^2-14ab}{20}$

Question 6

Expand $(x^2+5x+8)(x-6)$.  [2 marks][3]

Accepted Answer

$x^3-x^2-22x-48$

Answer

$x^3+x^2-11x-48$

Answer

$x^3+x^2-22x+28$

Answer

$x^3+2x^2-22x+48$

Question 7

Given that $(x^2-A)(3x^2+Bx-1)=3x^4-2x^3-16x^2+Cx+5$, find the values of A, B, and C.    [2 marks][2]

Accepted Answer

A=5, B=-2, C=10

Answer

A=5, B=2, C=10

Answer

A=3, B=-2, C=-8

Answer

A=5, B=-2, C=-10

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