Question

if (x-1) is a factor of 3x4-4x3- 2ax+ 2a2, then find the value of a​

Answer 1

(x−1)isfactorofp(x)

sox=1iszeroofgivenpolynomial

so

p(1)=0

3(1)

4

−4(1)

3

−a(1)+2=0

3−4−a+2=0

1−a=0

a=1

Answer 2

Answer:

not defined

Step-by-step explanation:

$x - 1 = 0 \\ thus \: x = 1. \\ substitute \\ 0 = \: 3 \times {1}^{4} - 4 \times {1}^{3} - 2a(1) \\ + 2 {a}^{2} \\ = 3 - 4 - 2a + 2 {a}^{2} \\ 1 = 2a( - 1 + 2a) \\ 1 \div - 1 + 2a = 2a$