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Chapter 0: Problem 7

Find the degree of the polynomial. $$x^{2}-4 x^{3}+9 x-12 x^{4}+63$$

Short Answer

Expert verified
The degree of the given polynomial \(x^{2}-4 x^{3}+9 x-12 x^{4}+63\) is 4

Step by step solution

01

Identify the Polynomial

Given the polynomial \(x^{2}-4 x^{3}+9 x-12 x^{4}+63\)
02

Spot the Degrees of Each Term

The degrees of the individual terms from left to right are: 2 (from \(x^{2}\)), 3 (from \(-4x^{3}\)), 1 (from \(9x\)), 4 (from \(-12x^{4}\)) and 0 (constant term \(63\)) respectively.
03

Identify the Highest Degree

Compare all the identified degrees of each term and pick the highest. In this polynomial, the highest degree is 4, from the term \(-12x^{4}\).

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