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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

Find the values of $a$a and $b$b given that $bb<a, $a+b=-11$a+b=11 and $ab=18$ab=18.

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
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Outcomes

1.2.2.3

solve quadratic equations algebraically using factorisation, the quadratic formula (both exact and approximate solutions), and completing the square and using technology

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