Chapter 3 Part 1 of Polynomials

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1
• -2x² - 11x -4
• 2x² + 5x -7
• -2x² + 11x -4

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

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Multiply
x²(2x+3)

• x²+2x+3
• 2x+3
• 2x²+3x
• 2x³+3x²

Simplify:
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²
• 7x² - x + 4 (-3x²)
• 21x⁴ + 3x³ + 12x²
• -12x² + 3x³ -21x⁴

Multiply
(x²-2x+1)(x+1)

• x³-x²-x+1
• x³-2x+2
• x³+x²+x+1
• x³-3x²-3x+1

Simplify:
(3x - 5) ( 4x² - 2x - 3)

• 12x³ - 26x² - 25x + 15
• 12x³ - 20x² - 5x + 15
• 12x³ - 20x² - 6x + 15
• 12x³ - 26x² + x + 15

 (x − y) ³ 

• x³ − 3x² y + 3xy² − y³
• 16m ⁴ − 32m ³ + 24m ² − 8m + 1 

Expand the expression using the Binomial Theorem.
(2x+5)⁴

• 2x⁴ + 40x³ + 300x² + 1000x +625
• 16x⁴ + 160x³ +600x² +1000x + 625
• 16x⁴ + 1000x³ + 600x² + 160x +625

(3x³ + 5x - 1) ÷ (x + 1)

• 3x³ - 3x² + 8x - 9
• 3x² - 3x + 8 - 9/x+1
• 3x² + 3x + 8 + 7/x+1
• 3x³ + 3x² + 8x + 7

Tags

CCSS.HSA.APR.D.6

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3
• 2x⁴ - x² + 3x
• 2x² + 11x + 33
• 2x² +x +3