Find the value of the following polynomials for the indicated value of variables:
$r (t) = 4 t^{4} + 3 t^{3} - t^{2} + 6$ at $t = p, t \in R$

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Solution

We substitute the variable $t = p$ in the given polynomial
$r (t) = 4 t^{4} + 3 t^{3} - t^{2} + 6$ as follows:

$r (p) = 4 p^{4} + 3 p^{3} - p^{2} + 6$

Hence, the value of the given polynomial with $t = p$ is $r (p) = 4 p^{4} + 3 p^{3} - p^{2} + 6$ .

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Similar questions

p (t) = 4 t^{4} + 5 t^{3} - t^{2} + 6

t = 0

p (t) = 4 t^{4} + 5 t^{3} - t^{2} + 6

t = a

4 a^{4} + 5 a^{3} - a^{2} + 6

p (x) = 5 x^{2} - 3 x + 7

x = 1

q (y) = 3 y^{2} - 4 y \sqrt{11} + 8 \sqrt{11}

y = 2

q (y) = 3 y^{2} - 4 y + \sqrt{11}

y = 2

4 + \sqrt{11}

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