NZ Level 7 (NZC) Level 2 (NCEA)
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Factoring Cubics with an identifiable factor

Interactive practice questions

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

a

Factorise this expression.

b

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

Yes

A

No

B

Yes

A

No

B
c

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

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

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

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

Outcomes

M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

91257

Apply graphical methods in solving problems

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