Question

If p (x) = X3 + 3x2 - 5x + 8 is divided by the following,then find the remainder with the help of remainder theorem. (I) 2x-1​

Answer 1

Answer:

Remainder is 27/8

Step-by-step explanation:

x –1/2

Apply remainder theorem

=>x – 1/2 =0

=> x = 1/2

Replace x by 1/2 we get

=>x3+3x2 + 3x + 1  

=>(1/2)3 + 3(1/2)2 + 3(1/2) + 1

=> 1/8 + 3/4 + 3/2 + 1

Add the fraction taking LCM of denominator we get

=>(1 + 6 + 12 + 8)/8

=>27/8

Remainder is 27/8

Answer 2

2x-1=0

2x=0+1

2x=1

x=1/2

p(1/2)=(1/2)^3+3×(1/2)^2-5×1/2+8

=1/8+3/4-5/2+8

=5/8