Multiplying Polynomials-More Practice

Larissa says that when you multiply terms you multiply the coefficients--which are the Big numbers-- and you add the powers of the common variables. Tiffany says that when you combine like terms, you can only combine them if they have the same variable and the same power. Who's correct?

• They are both incorrect.

• They are both correct.

• Carissa is correct.

• Tiffany is correct.

• Noah is always right.

When Multiplying Polynomials like (x - 2) (x + 9) which methods can you use? Choose ALL that are correct.

• Box Method

• Distributive Property Method also known as FOIL

• CLT

• PEMDAS

If you multiply -8x² times 9x³, you...

• multiply -8 & 9 and add the powers of x resulting in -8⋅9x ^{2 + 3}

• add 8 & 9 and add the powers of x resulting in -8+9x ^{2 + 3}

• multiply -8 & 9 and add the powers of x resulting in -8+9x ^{2 ⋅ 3}

• add -8 & 9 and subtract the powers of x resulting in -8+9x ^{2 - 3}

If you try to combine -3x⁵ and -8x⁴, you...

• make a peanut butter, banana and jelly glory sandwich :d

• get the heebie-jeebies

• get -11x

• cannot, because these are not like terms, because they do not have the same variable and the same power.

Simplify:

5x(4x+2)

• 20x+10x

• 9x+10

• 20x²-10x

• 9x-10x²

Simplify:

-2(-9x -4)

• 18x + 8

• 18x² - 8

• -18x + 8

• 18x² + 8x

(x +9)(x + 3)

• Rewrite to distribute each part:

  x(x+3) + 9(x+3)

• Use rainbow and multiply

  x² + 3x + 9x + 27

• Combine Like Terms in the middle

  • +9x + 3x = 12x

• x² + 12x - 27

(x - 5)(x + 4)

• Rewrite to distribute each part

  x(x+4) -5(x+4)

• Use rainbow and multiply

  x² +4x -5x - 20

• Combine Like Terms

  -5x + 4x = -x

• x² - x - 20

(2x + 7)(x + 9)

• Rewrite to distribute

  2x(x + 9) +7(x + 9)

• Multiply each part

  2x² + 18x + 7x + 63

• Combine like terms

  + 18x + 7x = 25x

• 2x² + 25x + 63

(x - 5)(x - 1)

• x(x - 1) -5(x - 1)

• x² - x -5x + 5

• x² - 6x + 5