Factor Theorem and Long Division

f(x) is a polynomial. f(-5) = 0

Identify a factor of f(x)

• (x - 5)

• (x + 5)

• (5x - 1)

• (5x + 1)

f(x) is a polynomial. f(0.2) = 0 Identify a factor of f(x)

• (5x - 1)

• (5x + 1)

• (2x - 1)

• (2x + 1)

f(x) is a polynomial. f(3) = 0

Identify a factor of f(x)

• (x - 3)

• (x + 3)

• (3x - 1)

• (3x + 1)

f(x) is a polynomial. f(-3) = 0

Identify a factor of f(x)

• (x - 3)

• (x + 3)

• (3x - 1)

• (3x + 1)

f(x) is a polynomial. f(-¹/₃) = 0
Identify a factor of f(x)

• (x - 3)

• (x + 3)

• (3x - 1)

• (3x + 1)

f(x) is a polynomial. f(0.25) = 0
Identify a factor of f(x)

• (4x - 1)

• (4x + 1)

• (x - 4)

• (x + 4)

f(x) is a polynomial. f(-4) = 0 Identify a factor of f(x)

• (4x - 1)

• (4x + 1)

• (x - 4)

• (x + 4)

Using the factor theorem, determine whether (x + 3) is a factor of 2x^3 + x^2 - 9x + 18

• (x + 3) is a factor

• (x + 3) is not a factor

Using the factor theorem, determine whether (x - 1) is a factor of 2x^3 + x^2 - 9x + 18

• (x - 1) is a factor

• (x - 1) is not a factor

Using the factor theorem, determine whether (x - 1) is a factor of
x³ + x² - 13x + 14

• (x - 1) is a factor

• (x - 1) is not a factor