Factoring Techniques Quiz

Determine which of the following statements are correct, mark '✓' in the box:

• x - 1 is a factor of 5x^2 + 3x - 2

• x + 1 is a factor of 5x^2 + 3x - 2

• 15x + 1 is a factor of 5x^2 + 3x - 2

• 5x^2 + 3x - 2 is a multiple of 5x - 2

Given 7x^2 + 48x - 7 = (x + 7)(7x - 1), determine the following:

• 7x - 1 is a factor of 7x^2 + 48x - 7

• 7x - 1 is a multiple of 7x^2 + 48x - 7

• x - 7 is a factor of 7x^2 + 48x - 7

• x + 7 is a factor of 7x^2 + 48x - 7

Given -x^2 + 4 = -(x + 2)(x - 2), determine the following:

• x + 2 is a factor of -x^2 + 4

• -x^2 + 4 is a multiple of x - 2

• -x - 2 is a factor of -x^2 + 4

• x - 4 is a factor of -x^2 + 4

Given 6x^2 + 7x + 1 = (x + 1)(6x + 1), determine the following:

• 6x + 1 is a multiple of 6x^2 + 7x + 1

• x + 1 is a multiple of 6x^2 + 7x + 1

• 6x^2 + 7x + 1 is a multiple of x + 1

• 6x^2 + 7x + 1 is a multiple of 6x + 1

Given 12x^2 + 19x + 4 = (3x + 4)(4x + 1), determine the following:

• 3x + 4 is a factor of 12x^2 + 19x + 4

• 12x^2 + 19x + 4 is a multiple of 4x + 1

• 3x + 1 is a factor of 12x^2 + 19x + 4

• (3x + 4)(4x + 1) is a factor of 12x^2 + 19x + 4

Determine if 5x - 4 is a factor of 15x^2 - 7x - 4. If so, factor 15x^2 - 7x - 4.

Determine if x - 1 is a factor of 7x^2 - 11x + 4. If so, factor 7x^2 - 11x + 4.

Determine if 3x - 4 is a factor of 15x^2 - 29x + 12. If so, factor 15x^2 - 29x + 12.

Determine if x - 3 is a factor of 2x^2 + 5x - 3. If so, factor 2x^2 + 5x - 3.

Determine if 2x - 5 is a factor of 6x^2 - 19x + 15. If so, factor 6x^2 - 19x + 15.