How do you solve an equation with power of 5?
HOW TO SOLVE POLYNOMIAL EQUATION OF DEGREE 5
- To solve a polynomial equation of degree 5, we have to factor the given polynomial as much as possible.
- 6×4/x2 + 5×3/x2 – 38×2/x2 + 5x/x2 + 6/x2 = 0.
- 6×2 + 5x – 38 + 5/x + 6/x2 = 0.
- 6(x2 + 1/x2) + 5 (x + 1/x) – 38 = 0 —-(1)
- (1)—-> 6(y2 – 2) + 5y – 38 = 0.
What is a polynomial with 5 terms?
Degree 4 – quartic (or, if all terms have even degree, biquadratic) Degree 5 – quintic. Degree 6 – sextic (or, less commonly, hexic) Degree 7 – septic (or, less commonly, heptic)
How many solutions does a 5th degree polynomial have?
three real solutions
However, the polynomial is a 5th degree polynomial, which the Fundamental Theorem of Algebra tells us will have 5 roots. We know from the graph that it has three real solutions, so what does this mean about the number of complex solutions?
What is a 5th degree polynomial?
6x 2– 4xy + 2xy2 – This three term polynomial has a leading term to the second degree. It is called a second degree polynomial and often referred to as a trinomial. 9×5– 2x + 3×4– 2 – This 4 term polynomial has a leading term to the fifth degree and a term to the fourth degree. It is called a fifth degree polynomial.
What is the maximum number of terms in a polynomial of degree 5?
Therefore, a polynomial of degree 5 in x has at most 6 terms.
Can a polynomial have 5 terms?
An expression with more than three terms is named simply by its number of terms. For example a polynomial with five terms is called a five-term polynomial.
What is a 5th order polynomial?
In other words, a quintic function is defined by a polynomial of degree five. Because they have an odd degree, normal quintic functions appear similar to normal cubic functions when graphed, except they may possess one additional local maximum and one additional local minimum.
What polynomial has 5 terms?
quintic
Degree 4 – quartic (or, if all terms have even degree, biquadratic) Degree 5 – quintic. Degree 6 – sextic (or, less commonly, hexic) Degree 7 – septic (or, less commonly, heptic)
What are 5 terms called?
For instance, a five-term polynomial is a polynomial that has five terms. Question 4: What is a zero polynomial? Answer: It is a constant polynomial all of whose coefficients equals 0. The equivalent polynomial function is the constant function that has value 0, which we also call the zero map.
What type of polynomial is 5?
Table 10.2 Classifying a Polynomial Based on Its Degree
| Degree | Classification | Example |
|---|---|---|
| 2 | quadratic | 4×2 – 25x + 6 |
| 3 | cubic | x3 – 1 |
| 4 | quartic | 2×4 – 3×2 + x – 8 |
| 5 | quintic | 3×5 – 7×3 – 2 |
What is the 5th polynomial called?
Degree 5 – quintic. Degree 6 – sextic (or, less commonly, hexic) Degree 7 – septic (or, less commonly, heptic)
What is 5th degree polynomial example?
Example Questions Using Degree of Polynomials Concept Some of the examples of the polynomial with its degree are: 5×5+4×2-4x+ 3 – The degree of the polynomial is 5.
What is the degree of 5?
Names of Degrees
| Degree | Name | Example |
|---|---|---|
| 2 | Quadratic | x2−x+2 |
| 3 | Cubic | x3−x2+5 |
| 4 | Quartic | 6×4−x3+x−2 |
| 5 | Quintic | x5−3×3+x2+8 |
What is an expression with 5 terms called?
Polynomial. An expression with 5 terms is called polynomial.