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India
Class IX

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
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, factorise it completely.

Easy
2min
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Outcomes

9.A.P.3

Recall of algebraic expressions and identities. Further identities of the type: (x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx, (x ± y)^ 3 = x^3 ± y^3 ± 3xy (x ± y), x^3 + y^3 + z^3 – 3xyz = (x + y + z) (x^2 + y^2 + z^2 – xy – yz – zx) and their use in factorization of polynomials. Simple expressions reducible to these polynomials.

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