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Questions and Answers
What is the degree of the polynomial $p(x) = 3x^4 - 2x^2 + 5$?
What is the degree of the polynomial $p(x) = 3x^4 - 2x^2 + 5$?
- 5
- 3
- 4 (correct)
- 2
Which of the following is a linear polynomial?
Which of the following is a linear polynomial?
- $g(x) = 3x^2 - 4x + 5$
- $h(x) = 4x^3 - 2x^2 + x + 7$
- $k(x) = 5x^4 - 3x^2 + 2$
- $f(x) = 2x + 3$ (correct)
What is the sum of the degrees of the polynomials $m(x) = 2x^3 - 5x^2 + 4x - 1$ and $n(x) = 3x^2 - x + 2$?
What is the sum of the degrees of the polynomials $m(x) = 2x^3 - 5x^2 + 4x - 1$ and $n(x) = 3x^2 - x + 2$?
- 8
- 5
- 6
- 7 (correct)
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Study Notes
Polynomials
- The degree of a polynomial is the highest power of the variable (usually x) in the polynomial.
- The degree of the polynomial p(x) = 3x^4 - 2x^2 + 5 is 4.
- A linear polynomial is a polynomial of degree 1.
- Example of a linear polynomial: none of the options provided (2x^3 - 5x^2 + 4x - 1, 3x^2 - x + 2, and 3x^4 - 2x^2 + 5).
- The degree of the polynomial m(x) = 2x^3 - 5x^2 + 4x - 1 is 3.
- The degree of the polynomial n(x) = 3x^2 - x + 2 is 2.
- The sum of the degrees of the polynomials m(x) and n(x) is 3 + 2 = 5.
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