Operations on Polynomials

Simplify:
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴

Distribute then combine like terms.

Which is the leading coefficient?
8 + 5t² - 3t + t³

• 8

• 5

• -3

• 1

What is the degree of the following function?y = 5x⁴-3x⁷+2x²-13

• 5

• 4

• -3

• 7

Add the following polynomials: 
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

• 11x⁴  + 2x² + 14x

• 16x⁴  + x² + 14x

• 11x⁴  + x² + 14x

• 11x⁴  + 2x² + 10x

Add the following polynomials:
 (5x + 2) + (4x + 5)

• 9x -7

• -9x-11

• 9x+7

• x+7

Find the product:
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴

Find the product:
2x( -2x - 3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

Use the FOIL method to multiply:
(x+10)(x-10)

• x²  - 100

• x² + 100

• x² + 20x - 100

• x² -20x + 100

Which polynomial is written in standard form?

• -3x + 8x² + 9x³ - 11

• 9x³ + 8x² - 3x - 11

• 8x² + 9x³ -11 - 3x

• -11 - 3x + 8x² + 9x³