Linear and Quadratic Factors of Polynomials Expressions

Linear and Quadratic Factors of Polynomials Expressions

Independent Practice

Independent Practice

Review the notes as necessary

Multiple Choice

Factor Completely:

k⁴ - 10k² - 39

• (k² - 13)(k² + 3)

• (k - 13)(k + 3)

• (k² + 15)(k² - 3)

• (k + 13)(k - 3)

Multiple Choice

Factor Completely:

k⁴ - 10k² - 39

• (k² - 13)(k² + 3)

• (k - 13)(k + 3)

• (k² + 15)(k² - 3)

• (k + 13)(k - 3)

Multiple Choice

Factor Completely

5x²-28x+32

• (3x-10)(x+6)

• (x-8)(5x-4)

• (5x-8)(x-4)

• (5x-8)(x+7)

Multiple Choice

Is factoring fun?

• YES

• NO

• NO

• NO

Multiple Choice

Factor: 27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x²+4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

Multiple Choice

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (2x + 1)(4x² - 2x + 1)

• (2x - 1)(4x² - 2x - 1)

• (2x + 1)(4x² +2x + 1)

Multiple Choice

Factor Completely:

3x⁴ + 3x³ - 12x² - 12x

• 3x(x³ + x²- 4x - 4)

• 3x(x²-4)(x+1)

• 3x(x+2)(x-2)(x+1)

• 3x(x²+4)(x-1)

Multiple Choice

Factor completely:

2x³ + 5x² - 8x - 20

• (x² - 4)(2x + 5)

• (2x - 5)(x² + 4)

• (2x² - 4)(x + 5)

• (x - 2)(x + 2)(2x + 5)

Multiple Choice

Factor Completely:

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Multiple Choice

Factor Completely:

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Multiple Choice

Factor

k²+7x+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Multiple Choice

Classify by degree of polynomial:

2x – 9

• Constant

• Linear

• Quadratic

• Cubic

Multiple Choice

Factor completely:

3x² + 18x +15

Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Multiple Choice

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Multiple Choice

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer

Multiple Choice

Factor Completely:

256x⁴ - 81

• (16x² + 9)(16x² - 9)

• (16x² + 9)(4x + 3)(4x - 3)

• (4x² + 9)(4x² - 9)

• (16x² + 9)(2x + 6)(2x -6)

Multiple Choice

When using factor by grouping, how many terms must we have?

• Four or more

• Two

• Three

• Doesn't matter

Multiple Choice

Which polynomial would be classified as a perfect cubic binomial?

• 4x³ + 16

• 21x³ + 9

• x³ - 343

• 27x³ + x² - 8

Multiple Choice

Factor Completely:

14x⁴+x²-3

• (7x² + 3)(2x² - 1)

• (7x² - 3)(2x² + 1)

• (14x² - 3)(1x² + 1)

• (7x + 3)(3x + 1)

Multiple Choice

Factor Completely:

14x⁴+x²-3

• (7x² + 3)(2x² - 1)

• (7x² - 3)(2x² + 1)

• (14x² - 3)(1x² + 1)

• (7x + 3)(3x + 1)