Finding Zeros of Polynomials by Factoring

Identify the number of roots:
x³+4x²-11x-30

• 1

• 2

• 3

• 4

What are the zeros for this function?

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Factor: 27x³ + 8. Then describe how to find the three solutions.

• (3x + 2)(9x² - 6x + 4). Next, set (3x + 2) equal to 0 and solve. Finally, use the Quadratic Formula for (9x² - 6x + 4).

• (9x + 2)(3x² + 18x + 4). Next, set (9x + 2) equal to 0 and solve. Finally, use the Quadratic Formula for (3x² + 18x + 4).

• (3x²+4)(9x + 2). Next, set (3x² + 4) equal to 0 and solve. Finally, set (9x + 2) equal to 0 and solve.

• (27x + 8)(x² - 216x + 64). Next, set (27x + 8) equal to 0 and solve. Finally, use the Quadratic Formula for (x² - 216x + 64).

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Solve the following equation:
x⁴ + x² - 90 = 0

• 3, -3, ±√10

• 3, -3

• ±√10

• 3

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

• 6, 3, -3

• -6, 3, -3

• -6, 3i, -3i

• 6, 3i, -3i

Write x³ + 9x² + 18x in factored form.

• x(x + 6)(x + 3)

• x(x + 9)(x + 2)

• x(x + 6)

• x(x - 6)(x - 3)

What are the zeros for this function?

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How many possible solutions are there in 6x³−6x²+x+6=0?

• 1

• 2

• 3

• 4

What method should you use to factor the polynomial?

x² - 36

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes