Which polynomials are prime? Check all of the boxes that apply.
Which expression does not factor?
Which constant term would mean that the expression is completely factored?x2 – 3x + –10X 0✔ 10
What is the completely factored form of 25x4 – 16y2?
What is the completely factored form of 2x2 – 32?
What is the completely factored form of x4y – 4x2y – 5y?
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.
To factor 2x^3 + 5x^2 – 8x – 20, first check for a greatest common factor. Since there isn't one for all terms, factor by grouping. Group the first two terms and the last two terms: (2x^3 + 5x^2) + (– 8x – 20). Factor out x^2 from the first group and -4 from the second group to get x^2(2x + 5) - 4(2x + 5). This simplifies to (x^2 - 4)(2x + 5). Finally, factor the difference of squares (x^2 - 4) 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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