Please don't write "the following" if you don't provide a list - it doesn't make any sense.To obtain a polynomial with specific zeros, you write, in this case:
(x - 8) (x - 1) (x - 3)
Multiply all those together, and you get the polynomial in standard form.
Note: for a negative zero, you would get a factor with a positive coefficient; for example, if you want a root of -4: (x - -4) = (x + 4)
x3 + 4x2 - 25x - 100 = 0
It is x^3 - x^2 - 4x + 4 = 0
The polynomial is (x + 1)*(x + 1)*(x - 1) = x3 + x2 - x - 1
the zeros of a function is/are the values of the variables in the function that makes/make the function zero. for example: In f(x) = x2 -7x + 10, the zeros of the function are 2 and 5 because these will make the function zero.
by synthetic division and quadratic equation
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
x3 + 4x2 - 25x - 100 = 0
Polynomial fuction in standard form with the given zeros
It is x^3 - x^2 - 4x + 4 = 0
The polynomial is (x + 1)*(x + 1)*(x - 1) = x3 + x2 - x - 1
the zeros of a function is/are the values of the variables in the function that makes/make the function zero. for example: In f(x) = x2 -7x + 10, the zeros of the function are 2 and 5 because these will make the function zero.
by synthetic division and quadratic equation
In the real domain, yes. In the complex domain, no.
Find All Possible Roots/Zeros Using the Rational Roots Test f(x)=x^4-81 ... If a polynomial function has integer coefficients, then every rational zero will ...
no a plynomial can not have more zeros than the highest (degree) number of the function at leas that is what i was taught. double check the math.
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.
x3 - 2x2 - 25x + 50 = 0