Question

Shw that (x-1) is the factor of f(x)=2x^3-3x^2+7x-6.

pls answer my question
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Answer 1

Step-by-step explanation:

x-1 = 0

x = 1

f(x) = 2x³-3x²+7x-6

f(1) = 2(1)³-3(1)²+7(1)-6

f(1) = 2-3+7-6

f(1) = 9-9

f(1) = 0

Answer 2

if x-1 is factor

then x must be equal to 1

=> 2(1)³-3(1)²+7(1)-6 = 0

=> 2-3+7-6 = 0

=> -1 + 1 = 0

=> 0 = 0

HENCE PROVED