Question

determine whether(x-1) 2x^3+5x^2-10x+4

Answer 1

g(x) => x - 1 = 0 => x = 1
f(x) = 2x³ + 5x² - 10x + 4
= 2(1)³+5(1)²-10(1)+4 = 2+5-10+4= 11-10=1≠0
=> x-1 is not a factor of 2x³+5x²-10x+4

Answer 2

Hola

Here is your answer -

Given -

p(x) - 2x³+ 5x² - 10x + 4

q(x) - x -1

x - 1 = 0

so, x = 1

Substuting x = 1 in p(x)

= 2(1)³ + 5(1)² - 10(1) + 4

= 2 + 5 - 10 + 4

= 7 - 6

= 1


No, it's not a factor since the obtained number is not zero, if it is zero then it is the factor.

Hope it helps