Algebra 2 Unit 7 Review

Find f(-2) and f(4) for the function:

f(x) = 5x⁴+11x³-10x²+13x+5

• -69; 1881

• -34; 1820

• 2; 4268

• -29; 4315

Determine consecutive values of x between which each real zero is located:

f(x) = 21x⁴ + 8x³-18x²+14x+9

• Between: 2&3, 1&2, -1&-2, and -2 &-3

• Between: 1 & 0, and 0 & -1

• Between 0 & 1

• Between 0 & -1, and -1 & -2

Determine consecutive values of x between which each real zero is located:
f(x) = -8x⁴-8x³-2x²+12x+8

• Between 0 & -1
• Between: 0 & 1
• Between: 2 & 3, 1 & 0, -1 & -2, and -2 & -3
• Between: 1 & 2, and 0 & -1

Factor the polynomial completely:
7x² - 19x + 10

• 7x(x-2) - 5(x-2)
• 7x² - 13x - 6x + 10
• (7x - 5)(x - 2)
• 7x² - 14x - 5x + 10

Factor the polynomial completely:
4a⁴b² - 6a³b²

• 2(2a⁴b² - 3a³b²)
• 2a³b²(2a -3)
• a³b²(4a -6)
• 2a²b²(2a² - 3)

Factor the polynomial completely:
36x³ - 60x² + 45x - 75

• 12x²(3x-5) - 15(3x-5)
• (12x²+15)(3x-5)
• 12x²(3x-5) - 45x+75
• (36x³ - 60x²) + (4x - 75)

Find the real roots of the polynomial:

x⁴ - 58x² + 441 = 0

• 3, -3, 5, -5

• 3, -3, 7, -7

• 5, -5

• 2, -2, 9, -9

Use synthetic substitution to find f(2) and f(-7):
-2x⁴ - 5x² + 2x - 6

• 22, 4565
• -6, -608
• -54, -5067
• 50, 2148

Use synthetic substitution to find f(4) and f(-5):
-x⁵ - 5x³ - 10x + 9

• -1375, 3809
• 753, -2541
• 1313, 2459
• -95, 1309

Given a polynomial and one of its factors, find the remaining factors:
36x³ + 24x² - 275x - 363; (x - 3)

• (6x - 11)²
• 2(6x + 11)
• (6x + 11)(6x + 11)
• (6x + 11)(6x - 11)