Question

Use factor theorem to determine whether g(x) = 2 - 3x is a factor of p(x) x³ - x +1

Answer 1

Answer:

not a factor

Step-by-step explanation:

2-3x =0

2=3x

x=3/2

putting value of x=3/2 in :-

${x}^{3 } - x + 1$

(3/2)^3 - 3/2 + 1

27/8 -3/2 +1

(27-12+8)/8

(15+8)/8

23/8

as by applying the value of x =2/3 the remainder is not 0

therefore , it is not a factor of x^3-x+1.