Find the value of the following polynomial for the indicated value of variable:-
(i) r(t) = 4t⁴+3t³-t²+6 at t = p, t ∈ R.
(Please explain it step by step)
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Step-by-step explanation:
ANSWER
We substitute the variable t=p the given polynomial r(t)=4t
4
+3t
3
−t
2
+6 as follows:
r(p)=4p
4
+3p
3
−p
2
+6
Hence, the value of the given polynomial with t=p is r(p)=4p
4
+3p
3
−p
2
+6.
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