Operations with Polynomials

Add the polynomials:
(2x+5y) + (3x-2y)

• 3x + 5y
• 5x + 3y
• 5x + 7y
• 7xy + 1xy

(4x²+x) - (x²+2x)

• 3x² - x
• 4x² + 2x
• 3x² + 3x
• 3x² + 2x

Simplify the expression.
(4n⁴-8n+4) - (8n²+4n⁴+1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

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

Multiply:
(4x+1)(5x−2)

• 20x² + 3x − 2
• 20x² − 11x + 5
• 20x² − 18x + 2
• 20x² − 3x − 2

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12
• 5x³ + 17x² - 24x +12
• 5x³ - 13x² + 24x +12
• 5x³ +13x² - 24x - 12

Find the product.

(x+7)²

• x² + 49

• x² + 7x + 7

• 7x² + x + 7

• x² + 14x + 49

Which expression is equivalent to:
(2x²+5x-7)(x-2)?

• 2x³ - x² + 17x -14
• 2x³ + 9x² + 3x +14
• 2x³ + x² + 3x +14
• 2x³ + x² - 17x +14

A = 2x² + 3x + 5
C = 3x² - 7x + 12
If A + B = C,
what must B equal?

• x² - 10x + 7
• 5x² - 4x + 17
• x² - 4x + 7
• 5x² - 10x + 17