If the polynomial t^2-3t^2+kt+50 is divided by (t-3) the remainder is 62.Find the value of K
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In the example
==> When given polynomial is divided by (t-3) the remainder is 62.It means the value of the polynomial when t = 3 is 62.
==> p(t) = t^2 - 3t^2+ kt + 50
by remainder theorem,
p(3) = 3^2 - 3 x ^2 + k x 3 + 50
= 9 - 3 x 9+ 3k + 50
= 9 - 27+ 3k + 50
= -22 + 3k +50
= 3k + 50
But remainder is 62...
3k + 50 = 62
3k = 62-
3k = 62-50
3k = 12
k = 12/3
k = 4..
Thanks...
:)
_____________________________
In the example
==> When given polynomial is divided by (t-3) the remainder is 62.It means the value of the polynomial when t = 3 is 62.
==> p(t) = t^2 - 3t^2+ kt + 50
by remainder theorem,
p(3) = 3^2 - 3 x ^2 + k x 3 + 50
= 9 - 3 x 9+ 3k + 50
= 9 - 27+ 3k + 50
= -22 + 3k +50
= 3k + 50
But remainder is 62...
3k + 50 = 62
3k = 62-
3k = 62-50
3k = 12
k = 12/3
k = 4..
Thanks...
:)
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