Polynomial Factoring Quiz

What is the primary method discussed for factoring polynomials with an even number of terms?

• Factoring by expansion

• Factoring by substitution

• Factoring by grouping

• Factoring by division

In the green family, what common factor is extracted from the terms x^3 and -7x^2?

• 7

• -7

• x^2

• x

What is the common factor extracted from the yellow family terms 2x and -14?

• -2

• 14

• x

• 2

After factoring both families, what common factor is identified between the two resulting terms?

• x + 7

• x - 7

• x^2 + 2

• x^2 - 2

What is the result of factoring the polynomial using the initial grouping method?

• (x - 7)(x^2 - 2)

• (x + 7)(x^2 + 2)

• (x + 7)(x^2 - 2)

• (x - 7)(x^2 + 2)

In the alternative method, what common factor is extracted from the terms x^3 and 2x?

• x

• 2x

• 2

• x^2

What common factor is extracted from the terms -7x^2 and -14 in the alternative method?

• -7

• 7

• -14

• 14

What is the common factor identified between the two terms in the alternative method?

• x^2 - 2

• x^2 + 2

• x + 7

• x - 7

What is the result of factoring the polynomial using the alternative grouping method?

• (x^2 - 2)(x - 7)

• (x^2 - 2)(x + 7)

• (x^2 + 2)(x - 7)

• (x^2 + 2)(x + 7)

Do both the initial and alternative methods yield the same factored result?

• Yes, they yield different results

• No, they yield the same result

• No, they yield different results

• Yes, they yield the same result