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.
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.
Question text not available
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).
A polynomial has two terms. Check all of the factoring methods that should be considered.
Which expression does not factor?
Which important information did you include in your description? Check all of the boxes that apply.
Did you find these answers helpful?