\(P(x) =x^3 – 2x^2 + 4x^5 + 7 = 4x^5 + x^3 – 2x^2 + 7 \) 1) The degree of the polynomial. = 5 2) The leading term of the polynomial. \(= 4x^5\) 3) The leading coefficient of the polynomial. = 4

asked 2021-02-11

asked 2021-05-09

For each polynomial, state the constant term, the leading coefficient, and the degree of the polynomial.

\(5x^{2}-6x^{3}+3x^{6}+7\)

\(5x^{2}-6x^{3}+3x^{6}+7\)

asked 2021-05-05

For each polynomial, state the constant term, the leading coefficient, and the degree of the polynomial.

\(5x^{2}-8x+2x^{4}-3\)

\(5x^{2}-8x+2x^{4}-3\)

asked 2021-05-11

Consider the polynomial function \(p(x)=(3x^{2}-5x-2)(x-5)(x^{2}-4)\).

A) what is the degree of the polynomial? What is the y intercept of the function?

B)What are the zeros and their multiplicities?

C) what is the leading term of the polynomial and what power function has a graph most similiar to the graph of p?

A) what is the degree of the polynomial? What is the y intercept of the function?

B)What are the zeros and their multiplicities?

C) what is the leading term of the polynomial and what power function has a graph most similiar to the graph of p?

asked 2021-06-14

For the following exercise, for each polynomial, a. find the degree; b. find the zeros, if any; c. find the y-intercept(s), if any; d. use the leading coefficient to determine the graph’s end behavior; and e. determine algebraically whether the polynomial is even, odd, or neither.

\(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{2}}-{3}{x}-{5}\)

\(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{2}}-{3}{x}-{5}\)

asked 2022-01-16

Find a formula for the polynomial P(x)P(x) with

degree 15

leading coefficient 1

root of multiplicity 6 at x=0x=0

root of multiplicity 3 at x=12x=12

root of multiplicity 6 at x=−7

degree 15

leading coefficient 1

root of multiplicity 6 at x=0x=0

root of multiplicity 3 at x=12x=12

root of multiplicity 6 at x=−7

asked 2021-05-25

Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If not why? Write the polynomial in standard form. Then identify the leading term and the constant term.

\(G(x)=2(x-3)^{2}(x^{2}+5)\)

\(G(x)=2(x-3)^{2}(x^{2}+5)\)