Question

3. A {0,2,4,6,83 B: 8x.oc is a prime no
and xc 13 and ca
exc.xt n and s
Lxla3 then verify AU Conca lauen
CAUC)

please any one tell this question​

Answer 1

Answer:

Solution :

Given p(x)=8x³-6x²-4x+3

and

g(x) = x/3 - 1/4

The zero of g(x) is 3/4

[ since , To find zero of g(x)

we must take g(x) = 0

x/3 - 1/4 = 0

=> x/3 = 1/4

=> x = 3/4 ]

Then

Find p(3/4) :

p(3/4) =8(3/4)³-6(3/4)²-4(3/4)+3

= 8(3³/4³)-6(3²/4²)-3+3

= (8×27)/64 - (6×9)/16

= 27/8 - 27/8

= 0

Therefore,

p(3/4) = 0

_______________________

By factor theorem:

" If (x-a) is a factor of a polynomial p(x) then p(a) = 0"

________________________

Therefore,

g(x) is a factor of p(x)

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