Helppp!10

Question

Determine the degree,the leading coefficient,and the constant term for each polynomial function.

a) f(x) = 5x^2 + 2x - 7

b) f(x) = -3x + 11

c) f(x) = 3/4 x^2 - 6x^2 + 8x + 2

Answer 1

a)

Given function f(x) = 5x² + 2x - 7

degree :

The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials.

leading coeficient :

The coefficient of the term with the highest degree (greatest power of x) is called the leading coeficient and cannot equal 0.

constant term :

The term for which degree is zero.

The degree = 2

The leading coefficient = 5

The constant term = -7

Answer 2

b)

Given function f(x) = - 3x + 11

f(x) = - 3x¹ + 11

The degree = 1

The leading coefficient = - 3

The constant term = 11

Answer 3

c)

Given function f(x) = 3/4 x² - 6x² + 8x + 2

f(x) = (3/4 - 6)x² + 8x + 2

f(x) = (-21/4)x² + 8x + 2

The degree = 2

The leading coefficient = (-21/4)

The constant term = 2