Quick Check Solutions
Polynomials Basics:
1) The polynomial can be classified as a binomial because it has \(2\) terms.
2) Descending order: \(-x^3 + 6x^2 - 5x + 14\). The leading coefficient is \(-1\) and the degree is \(3\) (highest exponent).
3) Answers will vary. In order for the polynomial to be a binomial it needs to have \(2\) terms. In order for the polynomial to have a degree of \(4\), and leading coefficient of \(3\), the first term needs to have a coefficient of \(3\) and an exponent of \(4\). Here is an example: \(3x^4 + 8x^2\).
Adding and Subtracting:
Polynomials Basics:
1) The polynomial can be classified as a binomial because it has \(2\) terms.
2) Descending order: \(-x^3 + 6x^2 - 5x + 14\). The leading coefficient is \(-1\) and the degree is \(3\) (highest exponent).
3) Answers will vary. In order for the polynomial to be a binomial it needs to have \(2\) terms. In order for the polynomial to have a degree of \(4\), and leading coefficient of \(3\), the first term needs to have a coefficient of \(3\) and an exponent of \(4\). Here is an example: \(3x^4 + 8x^2\).
Adding and Subtracting:
Multiplying Polynomials:
Applications:
Polynomial PEMDAS:
Using Function Notation: