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1.02 Factorisation

Interactive practice questions

Consider the quadratic $x^2+11x+24$x2+11x+24, and fill in the blanks:

To factorise this quadratic, we need to find two numbers whose product is $\editable{}$ and whose sum is $\editable{}$.

Easy
< 1min

What values of $m$m and $n$n make both sides equal?

$y^2+my+60=\left(y+10\right)\left(y+n\right)$y2+my+60=(y+10)(y+n)

Easy
1min

Factorise the expression $x^2+6x+5$x2+6x+5.

Easy
< 1min

One expression for the area of the rectangle shown in the diagram is $m^2+14m+45$m2+14m+45. The rectangle is made up of four smaller rectangles. Use the diagram to express the area of the large rectangle in factorised form.

Easy
1min
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Outcomes

ACMMM008

solve quadratic equations using the quadratic formula and by completing the square

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