Mathematics Practice Test – Quadratic Equations (Questions with Answers and Explanations)

Factorise 27p²x² – 48y² (WASSCE 2004)

A. 9(3px – 4y)²
B. 3(3px - 4y)(3px – 4y)
C. 9(px – 4y)(3px + 4y)
D. 3(3px – 4y)(3px + 4y)

Above is the graph of the relation y = ax² + bx + c, where a, b, c are constants. Use the graph to determine the values of constants a, b, and c ¡n the relation using the values of the coordinates P and Q and hence write down the relation illustrated in the graph. (WASSCE 2002)

Factorise the quadratic expression 6x² + 14x + 8

A. (3x + 4)(x + 1)
B. 2(3x – 4)(x + 1)
C. 2(3x + 4)(x + 1)
D. 2(3x – 4)(x – 1)