Polynomials Operations and Applications

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3

• 4y² + 3y³ - y + 3

• -y⁴ + 2y³ -y - 4

• 4y³ + 3y² -3y + 1

Find the difference.
(7p + 4p³ - 8) - (-3p² + 2 - 9p)

• -3p² + 4p³ -15 + 9

• 3p³ + 4p² - p + 3

• 4p³ -3p² +16p -10

• 4p³ +3p² + 16p + 10

Find the product:
(x + 7)²

• x² + 7x + 7x + 49

• x² + 7x + 7

• 7x² + x + 7

• x² + 14x + 49

Find the product:
(3r-4)(7r-5)

• 21r²-43r+20

• 21r+43r²+9

• 7r+12r

• r+2r

Simplify:

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴

Simplify:
(3x - 5) ( 4x² - 2x - 3)

• 12x³ - 26x² - 25x + 15

• 12x³ - 20x² - 5x + 15

• 12x³ - 20x² - 6x + 15

• 12x³ - 26x² + x + 15

Find the Difference.
(4x³ -3x² + 6x - 4) - (-2x³ + x² -20)

• 4x² - 6x³ - 2x + 6

• 3x + 5x² + 1

• 6X³ -4X² + 6X -2

• 3x + 2

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24

• 4x⁴ - 9x³ - 10x² - 2x - 24

• 4x⁴ - 9x³ - 10x² + 2x - 24

• -4x⁴ - 9x³ - 10x² - 24