Question

using remainder theoren, show that
the polynomial P(x) = 3x^4- 4x^3 – 3x+4
is a multiple of x-1​

Answer 1

Answer:

Shown

Step-by-step explanation:

$f(x) = 3x^{4} - 4x^{3} - 3x + 4$

if $f(x)$ is divisible by $x-1$, then $f(1) =0$ [By Factor Theorem]

$f(1) = 3(1)^{4} - 4(1)^{3} - 3(1) +4\\f(1) = 3(1) - 4(1) - 3 + 4\\f(1) = 3 - 4 -3 + 4\\f(1) = 0\\Thus,\\f(x)$is multiple of $x-1$