Factorizing Polynomials

Write the polynomial in standard form.
2x - 3x² + 6 + 5x³

• 3x² + 2x + 5x³ + 6
• 5x³  + 3x² + 2x + 6
• 5x³  + 2x + 3x² + 6
• 10x⁶ + 6

Add the polynomials (x-2) and (x²+3).
Write your answer in standard form. 

• x² + x + 1
• x³ + 5
• x³ + 1
• x³ - 1

Simplify. Write your answer in standard form. 
(x³-x²+4)-(3x³-2x²+3)

• -2x³-3x²+7
• -2x³+x²+1
• 2x³-3x³-1
• 4x³-3x²+7

Simplify. Write your answer in standard form. 
(2x²-4y+7xy-6y²) - (-3x²+5y-4xy+y²)

• -5x² + 9y - 11xy + 7y²
• -x² + y + 3xy - 5y²
• -x² - 9y + 11xy - 7y²
• 5x² - 9y + 11xy - 7y²

Multiply
(x²-2x+1)(x+1)

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

Simplify. Write your answer in standard form. 
-13x²y⁵ + 7x²y⁵ - 3x²y⁵

• -9
• -16x²7y⁵
• 16x² + 7y⁵
• -9x²y⁵

Classify by number of terms:
3x² – 8x + 1

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Classify by degree of polynomial:
2x – 9

• Constant
• Linear
• Quadratic
• Cubic

Simplify. Write your answer in standard form. 
(3x² + x - 5y²) + (2x² - 6x + 3y²)

• 5x² - 7x + 8y²
• 5x² - 5x - 2y²
• 5x²+ 5x + 2y²
• 5x² + 2xy - 8y²

Multiply (p − 8)²
 

• p ² − 16p − 64 
• p ² + 16p + 64 
• p ² − 16p − 8
• p ² − 16p + 64