Identify your variables.
Make one of the variables equal zero and solve for the other variable.
Once you have a solution for this varaible this solution is called a zero.
Make the other variable equal to zero and solve for the other variable.
Once you have a solution for this variable this solution is also called a zero.
when the equation is equal to zero. . .:)
Yes, the places where the graph of a polynomial intercepts the x-axis are zeros. The value of y at those places must be 0 for the polynomial to intersect the x axis.
Yes.
3y2-5xyz yay i figured it out!!!!
Multiply x3 - 2x2 - 13x - 10
A quadratic polynomial must have zeros, though they may be complex numbers.A quadratic polynomial with no real zeros is one whose discriminant b2-4ac is negative. Such a polynomial has no special name.
Try the quadratic formula. X = -b ± (sqrt(b^2-4ac)/2a)
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
Yes, a polynomial can have no rational zeros while still having real zeros. This occurs, for example, in the case of a polynomial like (x^2 - 2), which has real zeros ((\sqrt{2}) and (-\sqrt{2})) but no rational zeros. According to the Rational Root Theorem, any rational root must be a factor of the constant term, and if none exist among the possible candidates, the polynomial can still have irrational real roots.
Polynomial fuction in standard form with the given zeros
x2 + 15x +36
A polynomial of degree ( n ) can have at most ( n ) real zeros. This is a consequence of the Fundamental Theorem of Algebra, which states that a polynomial of degree ( n ) has exactly ( n ) roots in the complex number system, counting multiplicities. Therefore, while all roots can be real, the maximum number of distinct real zeros a polynomial can possess is ( n ).
The factored form of a polynomial is valuable because it simplifies the process of finding its roots or zeros, making it easier to solve equations. It also provides insights into the polynomial's behavior, such as identifying multiplicities of roots and understanding its graph. Additionally, factored form can facilitate polynomial division and help in applications such as optimization and modeling in various fields.
The values of the variables which make the polynomial equal to zero
when the equation is equal to zero. . .:)
Yes, the places where the graph of a polynomial intercepts the x-axis are zeros. The value of y at those places must be 0 for the polynomial to intersect the x axis.
The zeros of the polynomial ( x^2 - 16 ) can be found by setting the equation equal to zero: ( x^2 - 16 = 0 ). This can be factored as ( (x - 4)(x + 4) = 0 ). Therefore, the zeros are ( x = 4 ) and ( x = -4 ).