What is the completely factored form of 2x2 – 32?
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Which of the following statements about 42xy – 49x + 30y – 35 are true? Check all of the boxes that apply.
The expression is equivalent and is completely factored.The expression is equivalent, but the (a2 – 4) term is not completely factored.The expression is equivalent, but the (a4 + 4a2 + 16) term is not completely factored.The expression is not equivalent.
Describe the steps you would use to factor 2x3 + 5x2 – 8x – 20 completely. Then state the factored form.
First, check for a common factor among all four terms. Since there isn't one, factor by grouping: x^2(2x + 5) - 4(2x + 5). This becomes (x^2 - 4)(2x + 5). Then, recognize (x^2 - 4) as a difference of squares and factor it into (x + 2)(x - 2). The completely factored form is (2x + 5)(x + 2)(x - 2).
Which important information did you include in your description? Check all of the boxes that apply.
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