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7.06 Factoring trinomials

Interactive practice questions

Determine which of the following expressions are in factored form. Select all the correct options.

$-5\left(2y+z\right)-b\left(2y+z\right)$5(2y+z)b(2y+z)

A

$\left(a+7\right)\left(a+2\right)$(a+7)(a+2)

B

$\left(x-5\right)\left(x+y\right)$(x5)(x+y)

C

$3x\left(a+2b\right)+2\left(a+2b\right)$3x(a+2b)+2(a+2b)

D
Easy
< 1min

Consider $\left(x+2\right)\left(y-9\right)$(x+2)(y9) and $xy-9x+2y-18$xy9x+2y18.

Easy
1min

Consider $\left(8-x\right)\left(7-y\right)$(8x)(7y) and $56-8y-7x+xy$568y7x+xy.

Easy
1min

Factor the following expression by taking out the common factor:

$5\left(a+b\right)+v\left(a+b\right)$5(a+b)+v(a+b)

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.E

Factor, if possible, trinomials with real factors in the form ax^2 + b^x + c, including perfect square trinomials of degree two

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