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How can you find a degree in a polynomial?
The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.7x2y2 + 4x2 + 5y + 13 is a polynomial with four terms. The first term has a degree of 4, the second term has a degree of 2, the third term has a degree of 1 and the fourth term has a degree of 0. The polynomial has a degree of 4.
How many terms can a polynomial have?
As many as you like. The highest power of the variable in question (usually x) defines the degree of the polynomial. If the degree is n, the polynomial can have n+1 terms. (If there are more then the polynomial can be reduced.) But there is NO LIMIT to the value of n.
How do you find the degree of polynomials?
First look at the degree of each term: this is the power of the variable. The highest such number, from all the terms in the polynomial is the degree of the polynomial. Thus x2 + 1/7*x + 3 has degree 2. x + 7 - 2x3 + 0.8x5 has degree 5.
A fourth degree polynomial that has five terms could have five linear factors.?
No, if it is of degree 4, it can have 4 linear factors, regardless of the number of terms.For example, x squared + 5x + 6 = (x+3)(x+2). The unfactored polynomial has three terms, and is of degree 2. Similarly, you can multiply four linear terms together; and you will get a polynomial of degree 4, which has up to 5 terms.
What degree of polynomial will be produced by multiplying a third degree polynomial and a fourth degree polynomial?
seventh degree polynomial x3 times x4 = x7
