Stitz-Zeager_College_Algebra_e-book

What we need to determine is the reason behind

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 5 3. h(x) = 2. g (x) = 12x + x3 4. p(x) = (2x − 1)3 (x − 2)(3x + 2) Solution. 1. There are no surprises with f (x) = 4x5 − 3x2 + 2x − 5. It is written in the form of Definition 3.2, and we see the degree is 5, the leading term is 4x5 , the leading coefficient is 4 and the constant term is −5. 2. The form given in Definition 3.2 has the highest power of x first. To that end, we re-write g (x) = 12x + x3 = x3 + 12x, and see the degree of g is 3, the leading term is x3 , the leading coefficient is 1 and the constant term is 0. 3. We need to rewrite the formula for h so that it resembles the form given in Definition 3.2: 1 h(x) = 4−x = 4 − x = − 1 x + 4 . We see the degree of h is 1, the leading term is − 5 x, the 5 5 5 5 5 4 leading coefficient is − 1 and the constant term is 5 . 5 4. It may seem that we have some work ahead of us to get p in the form of Definition 3.2. However, it is possible to glean the information requested about p without multiplying out the entire expre...
View Full Document

Ask a homework question - tutors are online