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7.07 Factoring with special products

Interactive practice questions

Answer the following.

a

Distribute $\left(x+5\right)\left(x-5\right)$(x+5)(x5).

b

Hence factor $x^2-25$x225.

Easy
1min

Which positive integer must go in the spaces to make the statement true?

Easy
< 1min

What expression must go in the space to make the statement true?

Easy
< 1min

One linear factor of $x^2-49$x249 is $x+7$x+7. What is the other factor?

Easy
< 1min
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Outcomes

A1.10.C

Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend

A1.10.D

Rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property

A1.10.F

Decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial

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