Expand and factor polynomial expressions practice questions | Mathematical Methods (Year 12, VCE Units 3 & 4, Logarithmic calculus, Logarithmic differentiation)

(a)1 mark

Which option factorises the expression without changing its value?

3(n - 2)

3(n - 3)

-3(n - 2)

-3(n - 3)

6(n - 3)

(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	\(-3\)
Coefficient of \(n\) in factor 2	\(?\)

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

(c)1 mark

Evaluate the expression exactly when \(n=-3\)

Expression value