Recognise equivalent polynomial forms practice questions | Mathematical Methods (Year 12, VCE Units 3 & 4, Antiderivatives, Integrating powers of linear functions)

(a)1 mark

Select the equivalent factor form of the polynomial shown

(-2z)(z - 2)

(z)(z - 2)

(z)(z - 1)

(-z)(z - 1)

(-z)(z - 2)

(b)2 marks

Complete the missing exact entries in the target form

Use the factor order and signs of the correct product in part (a). Number its factors from left to right, including any outside numerical factor. Enter zero for a missing power

Entry	Value
Constant term in factor 1	\(0\)
Coefficient of \(z\) in factor 1	\(?\)
Constant term in factor 2	\(-2\)
Coefficient of \(z\) in factor 2	\(?\)

Coefficient of \(z\) in factor 1 Coefficient of \(z\) in factor 2

(c)1 mark

Evaluate the expression exactly when \(z=-\frac{1}{2}\)

Expression value