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Grade 12

Factoring Cubics with an Identifiable Factor

Interactive practice questions

Consider the expression $x^3-64$x364.

a

Factor this expression.

b

Does $x^3-64$x364 have any other real-valued linear factors?

Yes

A

No

B
c

State the number of real-valued linear factors that $x^3-64$x364 has.

Easy
2min

The polynomial $x^3+5x^2+2x-8$x3+5x2+2x8 has a factor of $x-1$x1.

Easy
4min

Consider the cubic $x^3+4x^2-11x-30$x3+4x211x30.

Easy
4min

By looking for linear factors of $12x+x^2-x^3$12x+x2x3, factor it completely.

Easy
2min
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Outcomes

12F.C.3.2

Factor polynomial expressions in one variable, of degree no higher than four, by selecting and applying strategies

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