Question

❣️Please answer the question given below..→↓
That will be very kind of any two people..

◾What to do with the question ✓✓
Your task ✌️ is..using factor theorem , show that g(x) is a factor of p(x) , when..→↓

$p(x) = 2 {x}^{4} + {x}^{3} - 8 {x}^{2} - x + 6 \\ \: when \: g(x) = 2x - 3$


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Answer 1

Answer:

see from g(x) u found out x value

now when we substitute this value in f(x)

if we get the value of f(x)is =0 then g(x) is a factor of f(x)

Explanation:

2x-3 can be written as 2x-3=0

2x=3.

x=3/2

Now by substituting x value we get,

2*(3/2)^4+(3/2)^3-8(3/2)^2-3/2+6=

81/8+27/8-18-3/2+6

108/8-18-3/2+6

now by taking LCM..

108/8-144/8-12/8+48/8

-36/8-12/8+48/8

-48/8+48/8

0/8=0

Hope it helps

Answer 2

Answer:

therefore g(x) is not a factor of p(x).

I hope it understand