Algebra Polynomials Review

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor

• No, it is not a factor

Multiply:
(3x – 1)(x + 5) 

• 3x² + 4x + 5

• 3x² + 4x - 5

• 3x² + 14x + 5

• 3x² + 14x - 5

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

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴

Factor the polynomial. 
x²-4x-32

• (x-8)(x+4)

• (x-4)(x-32)

• (x+3)(x-4)

• (x+2)(x+5)

5x + 3y + 5 + 4x + 3y + y + 8

• 9x + 7y + 13

• 6x + 2y + 2

• 25x + 2y + 3

• x + 7y + 12

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

• Monomial

• Binomial

• Trinomial

• 4-Term Polynomial

Add or Subtract to Simplify:
(x⁵ + x³) - (6x - x³ + 6x⁵)

• -5x⁵ + 2x³ - 6x

• 7x⁵ - 6x

• -5x³ + 2x² - 6x

• -5x⁵ - 6x

(2x - 7)(2x + 7)

• 2x² + 7x - 49

• 4x² - 7x + 49

• 4x² - 49

• 2x² + 49

Simplify
(p − 8)²

 Hint: (p − 8)² = (p − 8)(p − 8)

• p ² − 16p − 64 

• p ² + 16p + 64 

• p ² − 16p − 8

• p ² − 16p + 64 

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