Stage 9 - Q1 - 2 marks
Expand and simplify.
Hint
Collect the two middle terms after multiplying.
Stage 9 - Q2 - 2 marks
Expand and simplify.
Hint
Collect the two middle terms after multiplying.
Stage 9 - Q3 - 3 marks
Expand and simplify.
Hint
Collect the two middle terms after multiplying.
Stage 9 - Q4 - 3 marks
Expand and simplify.
Hint
Collect the two middle terms after multiplying.
Stage 9 - Q5 - 4 marks
A rectangle has dimensions \((x+2)\) cm and \((x+3)\) cm, where \(x\) is positive. Give its area as a polynomial.
Hint
Area is the product of the two whole expressions.
Stage 9 - Q6 - 4 marks
A rectangle has dimensions \((x+4)\) cm and \((x+4)\) cm, where \(x\) is positive. Give its area as a polynomial.
Hint
Area is the product of the two whole expressions.
Stage 9 - Q7 - 5 marks
Find the missing coefficient \(k\).
Hint
You do not need to recompute the constant term.
Stage 9 - Q8 - 5 marks
A learner expands \((x+8)(x+5)\) as \(x^2+40\). Explain and correct the error.
Hint
There are four products before collecting terms.
Stage 9 - Q9 - 5 marks
Expand and simplify, then verify at \(x=1\).
Hint
The constant product may be negative.
Stage 9 - Q10 - 3 marks
Positive integers a and b satisfy the identity. Find all ordered pairs \((a,b)\).
Hint
The coefficient of \(x\) gives a sum and the constant term gives a product.