Question

if p(14), then find the degree of the polynomial p(x) =(p-x)³+14​

Answer 1

Degree = 3

Step-by-step explanation:

p(x) = (p-x)³ + 14

= (p)³-(x)³-3p²x + 3px² + 14

highest degree is 3

so the degree of the polynomial is = 3

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Answer 2

The degree of the polynomial is 3.

Step-by-step explanation:

$p(x) ={(p - x)}^{3} + 14$

$p(14) = {(p - 14)}^{3} + 14$

$\: \: \: = {p}^{3} - {14}^{3} - 3 \times p \times 14(p - 14) + 14$

$\: \: \: = {p}^{3} -2744 - 42p(p - 14) + 14$

$\: \: \: = {p}^{3} - 2730 - 42p(p - 14)$

${p}^{3} \\ Therefore \: </p><p>the \: degree \: of \: the \: polynomial \: is \: 3$

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