Factoring Higher Degree Polynomials and Equations

What is the first step in factoring the polynomial x^4 + 8x^2 - 9?

• Replace x^2 with a variable

• Use the quadratic formula

• Expand the polynomial

• Divide by the greatest common factor

Which two numbers multiply to -9 and add to 8 in the polynomial a^2 + 8a - 9?

• 3 and -3

• 4 and -2

• 9 and -1

• 6 and -1

What is the factored form of x^2 - 1?

• (x + 2)(x - 2)

• (x - 1)^2

• (x + 1)^2

• (x + 1)(x - 1)

Tags

CCSS.HSA.APR.C.4

In the polynomial x^4 - 5x^2 - 36, what are the two numbers that multiply to -36 and add to -5?

• 2 and -18

• 3 and -12

• 4 and -9

• 6 and -6

Tags

CCSS.HSA-REI.B.4B

What is the factored form of x^2 - 9?

• (x + 3)(x - 3)

• (x + 1)(x - 1)

• (x + 2)(x - 2)

• (x + 4)(x - 4)

Tags

CCSS.HSA.APR.C.4

What is the value of b if b^3 = 8?

• 2

• 4

• 1

• 3

Tags

CCSS.8.EE.A.2

What is the factored form of x^3 + 8 using the sum of cubes technique?

• (x + 3)(x^2 + 3x + 9)

• (x + 3)(x^2 - 3x + 9)

• (x + 2)(x^2 + 2x + 4)

• (x + 2)(x^2 - 2x + 4)

Tags

CCSS.HSA.APR.C.4

When factoring by grouping, what should the ratio of the first two coefficients be compared to the last two coefficients?

• Triple

• Half

• Double

• Equal

What is the greatest common factor (GCF) of the first two terms in 5x^3 - 10x^2 + 4x - 8?

• 5x

• 5x^2

• 10x^2

• 10x

What is the final factored form of x^6 - 2x^4 - 4x^2 + 8 using the difference of squares technique?

• (x^2 + 3)(x^2 - 3)^2

• (x^2 + 4)(x^2 - 4)^2

• (x^2 + 2)(x^2 - 2)^2

• (x^2 + 1)(x^2 - 1)^2

Tags

CCSS.HSA.APR.C.4