Question

Find the value of '2t' if (2x + 11) is a factor of 4x3 + 20x2 – tx + 11.

Answer 1

Step-by-step explanation:

(2x+11) is a factor of the expression so we can write 2x=-11

and x=-11/2

now, keeping the value of x in the question,

4x3 + 20x2-tx+11 =0

4x(-11/3)3+20x(-11/2)2-tx(-11/2)+11 =0

4x-1331/8+20x121/4+11t/2+11 =0

-1331/2+605+11t/2+11=0

11t/2=1331/2-605-11

11t/2=99/2

by cross multiplying

22t=198

t=198/22

t=9

2t =2x9

2t=18