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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 polynomial \(x^{2}-4 x^{3}+9 x-12 x^{4}+63\) is 4.

Step by step solution

01

Identify the terms

The given polynomial is \(x^{2}-4 x^{3}+9 x-12 x^{4}+63\). This polynomial has five terms: \(x^{2}\), \(-4 x^{3}\), \(9 x\), \(-12 x^{4}\), and \(63\).
02

Find the powers

The powers of 'x' in the five terms, respectively, are 2, 3, 1, 4, and 0 (since there is no 'x' in the term \(63\), we can consider the power of 'x' in that term to be 0).
03

Identify the highest power

Among the powers 2, 3, 1, 4, and 0, the highest is 4.

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Most popular questions from this chapter

Suppose that a polynomial contains four terms. Explain how to use factoring by grouping to factor the polynomial.

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