Polynomials | CIE A Level Maths: Pure 3 Topic Questions 2020

1

5 marks

Expand and simplify

(i)

(2 x + 3) (x - 4)

(ii)

2 p (p + 3) (p - 2)

(iii)

(y - 1) (y - 2)^{2}

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1a

1 mark

Expand and simplify $(2 - x) (3 x + 1) (x + 1)$ .

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1b

2 marks

A square has side lengths of $(5 x - 2 y + 3)$ units. Find an expression for the length of the diagonal of the square in terms of $x$ and $y$ .

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1a

1 mark

Expand and simplify $y (2 x + 2) (7 - x)$ .

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1b

2 marks

A rectangle has side lengths of $(3 x - 2 y + 5)$ units and $(x + 3 y - 1)$ units. Find an expression for the area of the rectangle in terms of $x$ and $y$ .

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1a

2 marks

Expand and simplify $(x + y) (x - y) (y - x) (- x - y)$ .

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1b

2 marks

A cuboid has a length of $(2 x - 3 y + 3)$ units, a width of $(2 x + 3 y - 3)$ units, and a height of $(x - y)$ . Find an expression for the volume of the cuboid in terms of $x$ and $y$ .

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CIE A Level Maths: Pure 3

Topic Questions

1.2 Polynomials