Chapter 8 Study Guide (Polynomials & Factoring)

Write the polynomial in standard form.
6x - 9 + 7x³ - 5x²

• -5x²+7x³+6x-9
• 7x³+6x-5x²-9
• 7x³-5x²+6x-9
• -9+6x-5x²+7x³

Write the polynomial in standard form.
3x+1-4x³+6x⁶-2x²

• -4x³-2x²+3x+1+6x⁶
• 6x⁶+4x³-2x²+3x-1
• 6x⁶-4x³-2x²+3x+1
• 1+3x-2x²-4x³+6x⁶

Simplify. (your answer must be in standard form)
(3x² + 2x - 8) + (x² - 5x +10)

• 4x² - 3x +2
• 3x² - 3x + 2
• 4x² + 3x + 2
• 2x² + 7x - 18

Simplify. Write your answer in standard form.
(3x³ + 9x² - 2x) - (7x³ - 6x² + 1)

• 10x³ + 15x² - 3x
• -4x³ + 3x² - 2x + 1
• -4x³ + 15x² - 2x - 1
• -4x³ + 15x² - 2x + 1

Simplify.  Write your answer in standard form.
(-7w⁵ + 7w³ + 2w) - (-5w⁴ - w² + 2)

• -12w⁵ + 6w⁴ + w² + 2w - 2
• -2w⁹ + 8w⁵ + w
• -7w⁵ + 5w⁴ + 7w³ + w² + 2w - 2
• -7w⁵ + 5w⁴ + 7w³ - w² + 2w + 2

Simplify the product. Write the answer in standard form.
9t²(2t - 6 + 5t²)

• 23t² - 6
• 45t⁴ + 18t³ - 54t²
• 18t³ - 54t² + 45t⁴
• 18t³ + 5t² - 6

Simplify the product.
(x + 2)(x - 5)

• x² - 3x - 10
• 2x² - 3
• x² - 10
• x² + 2x - 10

Simplify the product.
(3b - 5)(2b - 3)

• 6b² - 15
• 6b² - 19b + 15
• 6b² - 10b - 15
• 6b² - 10b + 15

Simplify the product.
(g + 6)(6g² + 9g - 8)

• 49g³
• 36g² + 55g - 48
• 6g³ + 36g² + 54g - 48
• 6g³ + 45g² + 46g - 48

Simplify the product.
(9 - 2t²)(9 + 2t²)

• -4t⁴ + 81
• -18t² + 18
• -4t⁴ - 36t² + 18
• 4t⁴ - 18t² + 81