Solving Polynomials Equations

f(x) = 4x+8 g(x) = x+3, Find f(x) ⋅ g(x)

• 4x²+24

• 4x²+20x+24

• 4x²+12x+24

• 4x²+4x+24

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

• 8

• -8

• 28

• None of these.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

• 182

• 40

• 61

• None of the Above

Given f(x) = 3x² - 2x + 1 and g(x) = x - 4, find (f⋅g)(x).

• 3x³ - 10x² - 7x - 4

• 3x³ - 14x² + 9x - 4

• 3x² - x - 3

• 3x³ + 14x² - 9x - 4

p(x) = 3x + 4
q(x) = 2x²
Find p(p(-3))

• -9

• 7

• -11

• None of these

Factor this difference of cubes:
x³ - 343

• (x + 7) (x² - 7x + 49)

• (x² + 1) (x - 343)

• (x - 7) (x² + 7x + 49)

• (x² - 343) (x + 1)

Factor x² + 7x + 12

• (x + 2)(x + 10)

• (x + 3)(x + 4)

• (x + 4)(x + 5)

• (x + 4)(x + 6)

Factor: x² – 5x – 24

• (x - 5)(x + 19)

• (x - 8)(x + 3)

• (x - 3)(x + 8)

• (x - 19)(x + 5)

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)

Find the factors of x² - 81

• (x - 9)(x + 9)

• (x + 9)(x + 9)

• (x - 9)(x - 9)

• Prime