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Find the difference of f(x) and g(x) if f(x) = 5x^4 + 2x^3 + 3x^2 + 1 and
g(x) = 7x^3+ 4x^2+ 3
a. Is f(x) a polynomial? If not, give an explanation.
b. Is g(x) a polynomial? If not, give an explanation.
c. Is the difference a polynomial? If not, give an explanation.
d. If the difference is a polynomial, identify the coefficient of the x2 term.

Pls help with this please !!

Respuesta :

devishri1977

Answer:

Step-by-step explanation:

Polynomial is sum of powers  in one or more  variables multiplied by coefficient.

a) f(x) is a polynomial  of degree 4

b) g(x) is a polynomial  of degree 3

c) difference = 5x⁴ +2x³ +3x² + 1 - [7x³ + 4x² + 3]

                     = 5x⁴ + 2x³ + 3x² + 1 - 7x³ - 4x² - 3

                      = 5x⁴ + 2x³ - 7x³ + 3x² - 4x² +1  - 3

                     = 5x⁴ - 5x³ - x² - 2

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