Add one term to the polynomial expression 14x^19 - 9x^15 + 11x^4 + 5x^2 + 3 to make it into a 22nd degree polynomial

Answers

Answer 1

Answer:

The required polynomial to a 22nd degree is $P(x)=x^(22)+14x^(19) - 9x^(15) + 11x^4 + 5x^2$

Given the polynomial function, $14x^(19) - 9x^(15) + 11x^4 + 5x^2$ ,, we are to add one term to the polynomial to make it into a 22nd-degree polynomial.

Note the highest and leading power of the variable of any function is the degree of such function.

To convert the given polynomial to a 22nd-degree function, we will simply add a variable term x with a degree of 22 to have:

$P(x)=x^(22)+14x^(19) - 9x^(15) + 11x^4 + 5x^2$

Hence the required polynomial to a 22nd degree is $P(x)=x^(22)+14x^(19) - 9x^(15) + 11x^4 + 5x^2$

Learn more here: brainly.com/question/2706981

Answer 2

Answer:

Given:

The polynomial is

$14x^(19)-9x^(15)+11x^4+5x^2+3$

To find:

One term which is used to add in given polynomial to make it into a 22nd degree polynomial.

Solution:

Degree of a polynomial is the highest power of the variable.

Let,

$P(x)=14x^(19)-9x^(15)+11x^4+5x^2+3$

Here, the highest power of x is 19, so degree of polynomial is 19.

To make it into a 22nd degree polynomial, we need to need a term having 22 as power of x.

We can add $kx^(22)$ , where k is constant.

So add $x^(22)$ in the given polynomial.

$P(x)=x^22+14x^(19)-9x^(15)+11x^4+5x^2+3$

Now, the degree of polynomial is 22.

Therefore, the required term is $x^(22)$ .

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Answers

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Answers

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Step-by-step explanation:

The given arithmetic sequence : 3, 9, 15, 21, 27, ….....................

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