Add, Subtract, and Multiply Polynomials

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

Tags

CCSS.HSA.SSE.B.3

Which of these polynomials is NOT in standard form?

• $x^3\ +\ 6x^2\ -\ 4x\ -\ 5$

• $10x\ +\ 9x^2\ +\ 8x^3$

• $x^{4^{ }}+\ 2x$

• $4x^2\ +\ 5x\ -\ 1$

Tags

CCSS.HSA.SSE.A.2

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

• add

• subtract

• multiply

• divide

When adding 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.

When multiplying 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.

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 need an area model with the dimensions _________________.

• 1 x 2

• 2 x 2

• 2 x 3

• 3 x 3

To simplify (3x-5) (4x²-2x-3), I need an area model with the dimensions _________________.

• 1 x 2

• 2 x 2

• 2 x 3

• 3 x 3

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

• add

• subtract

• multiply

• divide