Factorisation

Hong Kong

Stage 4 - Stage 5

Consider the quadratic $x^2+11x+24$`x`2+11`x`+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

Less than a minute

Find the values of $a$`a` and $b$`b` given $a`a`<`b` and

$a+b=15$`a`+`b`=15 and $a\times b=56$`a`×`b`=56

Find the values of $a$`a` and $b$`b` given $a`a`<`b` and

$a+b=-15$`a`+`b`=−15 and $a\times b=50$`a`×`b`=50

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