Check all of the possible first steps in factoring a polynomial with four terms.
A polynomial has two terms. Check all of the factoring methods that should be considered.
Which polynomials are prime? Check all of the boxes that apply.
Which constant term would mean that the expression is completely factored?x2 – 3x + –10010
What is the completely factored form of 25x4 – 16y2?
Check all of the possible first steps in factoring a polynomial with four terms.
Which polynomials are prime? Check all of the boxes that apply.
Which constant term would mean that the expression is completely factored?x2 – 3x + –100✔ 10
Which expression does not factor?
What is the completely factored form of 25x4 – 16y2?
What is the completely factored form of 2x2 – 32?
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.
Which expression does not factor?
A polynomial has two terms. Check all of the factoring methods that should be considered.
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