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How do you write a polynomial function with rational coefficients in standard form with given zeros of -1 -1 1?
The polynomial is (x + 1)*(x + 1)*(x - 1) = x3 + x2 - x - 1
What is the difference between the polynomial and multinomial?
Any sum of one or more terms is called a Polynomial. Polynomials have different names. for example x is a monomial* x+1 is a binomial x-1+y is a trinomial x-1+y+2x is a multinomial (could have been called quadnomial but ... lol nah) So what is a Quadratic? It is just a polynomial where the highest exponent (power) is 2. Basically, a polynomial of the 2nd degree algebraically. For example, x²+y-3 is a quadratic trinomial x² is a quadratic monomial *by the way if you are wondering what makes a term like x or x² a sum or a polynomial when there is nothing else you see that is being added or taken away then see this ... x = x + 1 - 1 x² = x² + 1 - 1
What is a zero of polynomial function?
A zero of a polynomial function - or of any function, for that matter - is a value of the independent variable (often called "x") for which the function evaluates to zero. In other words, a solution to the equation P(x) = 0. For example, if your polynomial is x2 - x, the corresponding equation is x2 - x = 0. Solutions to this equation - and thus, zeros to the polynomial - are x = 0, and x = 1.
Which is a third degree polynomial with -1 and 1 as its only zeros?
You need to multiply three terms, one for each zero. To have only two zeros, the polynomial would need to have a "double zero" (or more generally, a "multiple zero), that is, a repeated factor. In this case, the zeros can be one of the following: -1, -1, 1, with the corresponding factors: (x+1)(x+1)(x-1) or: -1, 1, 1, with the corresponding factors: (x+1)(x-1)(x-1) If you like, you can multiply these factors out to get the polynomial in standard form.
What is the minimum number of x-intercepts that a 7th degree polynomial might have?
1
What kind of polynomial is 3x3 plus x plus 1?
what kind of polynomial is shown 3x3+x+1
How do you write a polynomial function with rational coefficients in standard form with given zeros of -1 -1 1?
The polynomial is (x + 1)*(x + 1)*(x - 1) = x3 + x2 - x - 1
What is the least degree of a polynomial with the roots 3 0 -3 and 1?
The polynomial P(x)=(x-3)(x-0)(x+3)(x-1) is of the fourth degree.
What best describes the relationship between x plus 1 and the polynomial x2 minus x minus 2?
X2 - X - 2(X + 1)(X - 2)===============(X + 1) is a factor of the above polynomial.
Is x2plus x-1 a polynomial?
Yes, it is.
What is the answer to factor the following polynomial x to the second power minus one?
(x + 1)(x - 1)
Polynomial x2 plus 9x plus 8 Enter each factor as a polynomial in descending order?
(x + 8)(x + 1)
How do you factor the polynomial x2 plus 9x plus 8 with each factor as a polynomial in descending order?
(x + 8)(x + 1)
What is the second degree polynomial that creates the golden ratio?
The polynomial equation is x2 - x - 1 = 0.
What is the difference between the polynomial and multinomial?
Any sum of one or more terms is called a Polynomial. Polynomials have different names. for example x is a monomial* x+1 is a binomial x-1+y is a trinomial x-1+y+2x is a multinomial (could have been called quadnomial but ... lol nah) So what is a Quadratic? It is just a polynomial where the highest exponent (power) is 2. Basically, a polynomial of the 2nd degree algebraically. For example, x²+y-3 is a quadratic trinomial x² is a quadratic monomial *by the way if you are wondering what makes a term like x or x² a sum or a polynomial when there is nothing else you see that is being added or taken away then see this ... x = x + 1 - 1 x² = x² + 1 - 1
Why the graph of a polynomial function with real coefficients must have a y-intercept but may have no x-intercept?
For a polynomial of the form y = p(x) (i.e., some polynomial function of x), having a y-intercept simply means that the polynomial is defined for x = 0 - and a polynomial is defined for any value of "x". As for the x-intercept: from left to right, a polynomial of even degree may come down, not quite reach zero, and then go back up again. A simple example is y = x2 + 1. Why is the situation for "x" and for "y" different? Well, the original equation is a polynomial in "x"; but if you solve for "x", you don't get a polynomial in "y".
What is the definition for the zero of a polynomial function?
The zero of a polynomial in the variable x, is a value of x for which the polynomial is zero. It is a value where the graph of the polynomial intersects the x-axis.
