Question

30 points cause its a big question d(x)=x+pi what is the standard form, name of the polynomial, degree, leading coefficient, and the constant term?

Answer 1

A polynomial is something like:

y = a*x^n + b*x^(n-1) + .... + g*x^0

n is the degree of the polynomial, a is the leading coefficient and g is the constant.

d(x) = x + pi

a) For a polynomial, the standard form is the form i write above, so here we have

d(x) = x + pi = 1*x^1 + pi*x^0

b) this is a linear polynomial (as all the polynomials of degree 1)

c) the degree is 1, because the biggest power of x that we have is x^1 = x.

d) The leading coefficient is the constant that is multipliying the highest power of the polynomial, in this case we have:

d(x) = 1*x + pi

1 is the leading coefficient.

e) the constant is the coefficient that multiplies the term x^0 = 1.

here we have:

d(x) = x^1 + pi*x^0 = x + pi

So the constant term is pi.