ATH 135 Precalculus Homework Lesson 6 HW Score 0 of 1 pt 412

ATH 135 Precalculus Homework: Lesson 6 HW Score: 0 of 1 pt 4.1.27 HW Score: 15.38%, 2 of 13 pts Question Help the f polynomial in standard form. Then identify the leading term and the constant term. G-x-(2+2) A. It is not a polynomial Type an integer or a fraction.) B. It is a polynomial of degree (Type an integer or a fraction.) O C. It is not a polynomial because the function is the ratio of two distinct polynomials, and the polynomial in the denominator is of positive degre Click to select and enter your answer(s) and then click Check Answer Clear All remaining OK

Solution

What\'s a polynomial?

a) There should be no x in the denominator anywhere
b) x must always be raised to a NONNEGATIVE INTEGER
c) There must be no radical over an x

Here we have
3(x - 1)^2 * (x^2 + 2)

Clearly (x-1)^2 and (x^2 + 2) are both polys
and multiplyin\' em will give another poly

(x-1)^2 has degree= 2
(x^2 + 2) has degree= 2

When we multiply, the highest degree = 2+2 = 4

So, option B
degree 4