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Grade 12

Factoring from roots (includes complex roots)

Interactive practice questions

Fill in the gap to make the statement true.

If a polynomial equation is of degree $n$n, then counting multiple roots separately, the equation has $\editable{}$ roots.

Easy
< 1min

Factor $P\left(x\right)=x^3+2x^2-3x-6$P(x)=x3+2x23x6 into linear factors given that $-2$2 is a zero of $P\left(x\right)$P(x).

Easy
4min

Factor $P\left(x\right)=x^3+7x^2-5x-75$P(x)=x3+7x25x75 into linear factors given that $-5$5 is a zero of $P\left(x\right)$P(x).

Easy
3min

Factor $P\left(x\right)=3x^3-5x^2-4x+4$P(x)=3x35x24x+4 into linear factors given that $2$2 is a zero of $P\left(x\right)$P(x).

Easy
4min
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Outcomes

12F.C.1.5

Make connections, through investigation using graphing technology, between a polynomial function given in factored form and the x-intercepts of its graph, and sketch the graph of a polynomial function given in factored form using its key features

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