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.
Question text not available
Which expression does not factor?
Question text not available
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.
Did you find these answers helpful?