Terminology and Polynomial Operations

Is the polynomial in standard form?

7x³ – 8x² + 9

• yes

• no

Choose all the polynomials that are in standard form

• 2x + 4x³ – 9

• 7x³ – 3x²

• 9 + 2x + 3x²

• 3x⁹ + 4x² – 6x + 10

Which of these polynomials is NOT in standard form?

To simplify (4x - 2x³) + (5x³ - 4x + 5), I will _____________ the two polynomials.

• add

• subtract

• multiply

• divide

When subtracting two polynomials, I need to _________________.

• remove the parentheses and complete an area model.

• complete an area model and combine like terms

• distribute the negative sign to all terms inside the parentheses that follow and combine like terms.

• remove the parentheses and combine like terms.

To simplify (x +2)(x + 3), I will ______________ the two polynomials.

• add

• subtract

• multiply

• divide

To simplify (3- 2x + 2x²) - (4x -5 +3x²), I will __________________ the two polynomials.

• add

• subtract

• multiply

• divide

Multiply:

(5x + 2) (x² – 3x + 6)

• 5x³ – 17x² + 24x + 12

• 5x³ + 17x² – 24x + 12

• 5x³ – 13x² + 24x + 12

• 5x³ + 13x² – 24x – 12

(3x + 4y – 3z) – (2x – 6y + 7z)

• x + 10y – 10z

• -x +10y – 10z

• x – 10y – 10z

• -x – 10y – 10z

Find the sum

(4x²+ x) + (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 5x² + 3x

• 3x² + 2x