Question

Find the reminder when p(x)= 4x^3- 12x^2+11x-5 is divided by 2x-1 , using the reminder theroem as well as by long division. Hence verify reminder theroem Pls answer....... I'll mark you as the brainliest....... 100%

Answer 1

Answer:

2x-1=0

x=1/2

so by substituting the value of x as

f(x)=4*1/2*1/2*1/2-12*1/2*1/2+11*1/2-5

1/2-3+11/2-5

(1-6+11-10)/2

-2 IS THE REMAINDER

Answer 2

Step-by-step explanation:

by using remainder theorem

2x-1=0

2x=1

x=1/2

substituting 1/2 instead of x

p(1/2)=4(1/2)³-12(1/2)²+11(1/2)-5

=4(1/8)-12(1/4)+11(1/2)-5

=4/8-12/4+11/2-5/1

By using LCM method

the LCM of (8,4,2,1) is 8

therefore

=4/8-24/8+44/8-40/8

=4-24+44-40÷8

=48-24-40÷8

=48-44÷8

=4/8

=1/2

By using remainder theorem the remainder is 1/2

By using Long Division method

you can refer the photo attached to this answer for this method

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