Question

Help please, it's for a test due at 11:30 est; Determine if (x-6) is a factor of f(x)=2x^4-3x^3+4x-3. Explain.

Answer 1

if we get 0, when we plug the value of f(x) as 6 in f(x) then (x-6) is a factor of f(x)

• f(x) = 2x⁴ - 3x³ + 4x - 3
• f(6) = 2×6⁴ - 3×6³ + 4×6 - 3
• f(6) = 2592 - 638 + 24 - 3
• f(6) = 2616 - 641
• f(6) = 1975

f(6) is not equal to 0

then (x-6) is not a factor of f(x) = 2x^4-3x^3+4x-3