Question

Find remainder if p(x) =
$4x { }^{2} - 12x {}^{2} + 14x - 3$
is divided by g(x) =
$2x - 1$

Answer 1

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HERE IS UR ANSWER ⤵⤵

✅Given : p(x) = 4x^2 - 12x^2 + 14x - 3

g(x) = 2x - 1

=> 2x - 1 = 0

=> 2x = 1

=> x = 1/2

Now,

Putting the value of x in p(x)...

p(x) = 4x^2 - 12x^2 + 14x - 3

p(1/2) = 4(1/2)^2 - 12(1/2)^2 + 14*1/2 - 3

= 1 - 3 + 7 - 3

= 8 - 3 - 3

= 5 - 3

= 2

Therefore , the remainder when p(x) is divided by g(x) is 2.....

HOPE IT HELPS.....☺✌

Answer 2

p(x)= 4x2 - 12 x2 + 14 x - 3
g(x) = 2x - 1
g(x) = 0
2x-1=0 =2x =0+1 = 2x= 1 = x =1/2
now put the value of x as 1/2
4x(1/2) square -12(1/2)square + 14(1/2) - 3
4*1/4 - 12*1/4 +14*1/2 -3
1-3+7-3=8-6=2
answer =2