This document contains a polynomials test with multiple questions: 1) Find the products of several polynomials, including (x-1)(x+3) and (x^2 - x - 1)(x + 7). 2) For a triangle with base x + 1 and height 3x, express the area in terms of x using the area formula A = 1/2bh. 3) Divide the polynomial (x^2 + 10x + 21) by (x + 3).

1. Polynomials Test
Answers

2. 1. Find the product of these polynomials.(2
marks each)
(x-1)(x+3)
(x2 - x - 1)(x + 7)
-x(x3 + x + 3)

3. 2. For the triangle with a base of b = x +1 and a
height of 3x, find an expression for the area of
the triangle in terms of x. The formula for area of
a triangle is A = 1/2bh. (3 marks)
h = 3x
b=x+1

4. 3. Divide (x2 + 10x + 21)
(x + 3)

5. 4. If there is a rectangle with an area of
x2 - 3x + 2 units squared, and the length is
x - 1, find the width of the rectangle.
(2 marks )

6. Factor
3a + 12b + 3c

7. Factor
9x2y + 6xy

8. Factor
4x 2 - 25

9. Factor
2x 2 + 5x + 3

10. Factor
4x 2 + 20x + 25