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 + X –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?
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.
First check for a greatest common factor. Then factor by grouping: x^2(2x + 5) - 4(2x + 5) = (2x + 5)(x^2 - 4). Recognize x^2 - 4 as a difference of squares and factor completely: (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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