Week 6 Quiz

What are the degree and the leading coefficient of the binomial 6x³ − 9x²?

Select one.

• Degree 2; leading coefficient 6
• Degree 3; leading coefficient 6
• Degree 3; leading coefficient −9
• Degree 5; leading coefficient 6

Subtract: (x² − 6x + 5) − (x² − 2x − 15). Which expression is the simplified difference?

Select one.

• −8x − 10
• 2x² − 8x − 10
• −4x − 10
• −4x + 20

Multiply with FOIL: (x − 1)(x − 5). Which polynomial is the product?

Select one.

• x² − 6x + 5
• x² + 5
• x² − 4x + 5
• x² − 6x − 5

A poster x inches on a side sits in a frame 3 inches wide all around, so the framed square is x + 6 inches on a side. Which polynomial is the framed area (x + 6)²?

Select one.

• x² + 36
• x² + 12x + 36
• x² + 6x + 36
• x² + 12x + 12

Factor completely: 6x³ − 9x².

Select one.

• 3x(2x² − 3x)
• x²(6x − 9)
• 3x²(2x − 3)
• 3x²(3x − 2)

Factor x² − 5x − 14.

Select one.

• (x + 7)(x − 2)
• (x − 14)(x + 1)
• (x − 7)(x − 2)
• (x − 7)(x + 2)

Factor 2x² + 7x + 3 by the ac method.

Select one.

• (2x + 1)(x + 3)
• (2x + 3)(x + 1)
• (x + 1)(x + 3)
• (2x + 6)(x + 1)

Which of these polynomials can be factored over the real numbers? Select every one that factors.

Select every option that applies.

• 9x² − 25
• x² + 16
• 3x² − 75
• x² + 36
• x² − 16

Inside the multiplication 3x² · 2x, which monomial is the product?

Select one.

• 5x³
• 6x²
• 6x³
• 5x²

True or false: in the term 3x², the 3 is squared along with the x, so 3x² means the same as (3x)².

True or false.

• True
• False