Find the value of ‘2t’ if (2x + 11) is a factor of 4×3 + 20×2 – tx + 11.

1 thought on “Find the value of ‘2t’ if (2x + 11) is a factor of 4×3 + 20×2 – tx + 11.”

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,

   4×3 + 20×2-tx+11 =0

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

   4x-1331/8+20×121/4+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 =2×9

   2t=18

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