Polynomial Expressions

Identify the number of coefficients and constant term of the following expression:  $16x^2-12x+20$  

• Coefficients: 16, 20
  Constant: -12

• Coefficients: 16, -12
  Constant: 20

• Coefficients: -12, 20
  Constant: 16

Which expression below represents the perimeter of the rectangle?

• 24x² - 38x - 42

• 22x - 2

• 11x - 1

• 22x + 2

Find the difference.

(2x² - 2x + 3) - (3x² + 4x - 5)

• -x² + 2x - 2

• x² + 5x - 7

• -x² - 6x + 8

• x² + 11x - 4

Simplify the expression  $3x^2+2\left(5-x^2\right)-8\left(x^2+9\right)$ . 

•  $-3x^2-82$  

•  $-13x^2-62$  

•  $-7x^2-62$  

•  $-7x^2-82$  

Simplify the following expression:  $-3x\left(x+14\right)$  

Classify the simplified expression. (Check all that apply)

• Quadratic

• Not Quadratic

• Monomial

• Binomial

• Trinomial

Which of the following is a quadratic expression that contains 3 terms, coefficients of 7 & 5, and has a constant of 10?

• $7x^2+10x\ +\ 5$

• $7x^5+10$

• $5x^3+7x^2+10$

• $5x^2+7x^{ }+10$

Simplify the following expression:  $8x^2-2x\left(1+4x\right)+2$  

Determine if the simplified expression is quadratic.

• Yes, it's quadratic because the highest power is 2.

• Yes, it's quadratic because there are 2 terms.

• Yes, it's quadratic because the constant is 2.

• The simplified expression is not quadratic.

Translate the verbal expression into an algebraic expression.

The product of 7 and the square of x, increased by the difference of 5 and x².

• $7\left(2x\right)+\left(x^2-5\right)$
  

• $7\left(x^2+5-x^2\right)$
  

• $\left(5+x^2\right)-7x^2$

• $7x^2+\left(5-x^2\right)$

Translate the verbal expression:

"Half the sum of 12 and x² decreased by one-third x"

Identify the coefficients and constant term of the simplified expression.

• Coefficients: 1/2, -1/3

  Constant: 6

• Coefficients: 6, 1

  Constant: -1/3

• Coefficients: 1, -1/3

  Constant: 6

• Coefficients: 6, -1/3

  Constant: 1/2

Translate the verbal expression into an algebraic expression.

"The surface area of a cube is the product of 6 and the square of the side length, x."

Classify the simplified expression. (Check all that apply.)

• Quadratic

• Not quadratic

• Monomial

• Binomial

• Trinomial