Verify common-factor and square factorisations practice questions | Year 9 Mathematics (Algebraic expressions and fractions, Common factors and difference of squares)

(a)1 mark

Select the factor form with the correct signs and coefficient data

-3(3z + 1)

3(3z + 1)

6(3z + 1)

-3(3z + 2)

3(3z + 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	\(?\)
Constant term in factor 2	\(1\)
Coefficient of \(z\) in factor 2	\(?\)

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

(c)1 mark

Evaluate the expression exactly when \(z=-1\)

Expression value