0
What else can I help you with?
What is the relationship between roots and zeros and factors?
Given a function f, of a variable x, the roots of the equation are values of x for which f(x) = 0.If the function, f, happens to be a polynomial function, and r is a root of f(x) then (x - r) is a factor of f(x).
Is 2 a polynomial?
Yes, f(x) = 2 is a polynomial of degree 0 (because there are no x terms).
When polynomial is a quadratic polynomial?
Whenever there are polynomials of the form aX2+bX+c=0 then this type of equation is know as a quadratic equation. to solve these we usually break b into two parts such that there product is equal to a*c and I hope you know how to factor polynomials.
How can you prove that the square root of two is transcendental?
You can't, because it isn't. The square root of 2 is irrational, but that doesn't make it transcendental. The square root of any positive integer is ALGEBRAIC - and transcendental means "not algebraic".In this case, the square root of 2 is a root of the polynomial equation x squared - 2 = 0; therefore it is algebraic.
How do you find the discriminant of a polynomial?
The discriminant of the quadratic equation ax2+bx+c = 0 is the value of b2-4ac When b2-4ac = 0 then there are 2 equal roots. When b2-4ac > 0 then there are 2 different roots. When b2-4ac < 0 then there are no roots at all.
If the factors of a polynomial are x - 2 and x - 5 what values of x make that polynomial 0?
2 or 5
If the factors of a polynomial are x-2 and x-5 what values of x make that polynomial 0?
The values that make each of the factors zero. In other words, you need to solve:x - 2 = 0 and: x - 5 = 0
If the factors of a polynomial are x - 4 and x - 5 what values of x make that polynomial 0?
4 and 5 -4 and -8
If the factors of a polynomial are x plus 2 and x plus 6 what values of x make that polynomial 0?
-2 and -6
What values of x will make the polynomial 0 if its factors are x - 2 and x - 7?
2 and 7.
If the factors of a polynomial are x plus 4 and x plus 8 what values of x make that polynomial 0?
-6 Check: -6+4-6+8 = 0
If the factors of a polynomial are x - 3 and x - 4 what values of x make that polynomial 0?
If either factor is zero, so is the polynomial. The first factor is zero when x = 3 and the second factor when x = 4. Thus the required values of x are 3 and 4.
If the factors of a polynomial are x plus 3 and x plus 7 what values of x make that polynomial 0?
If (x + 3)(x +7) = 0 then either: x + 3 = 0 or x + 7 = 7 Hence x = -3 or -7.
What are the values at which the graph of a polynomial crosses the x-axis?
The graph of a polynomial in X crosses the X-axis at x-intercepts known as the roots of the polynomial, the values of x that solve the equation.(polynomial in X) = 0 or otherwise y=0
Are a polynomial's factors the values at which the graph of a polynomial meets the y-axis?
Not quite. The polynomial's linear factors are related - not equal to - the places where the graph meets the x-axis. For example, the polynomial x2 - 5x + 6, in factored form, is (x - 2) (x - 3). In this case, +2 and +3 are "zeroes" of the polynomial, i.e., the graph crosses the x-axis. That is, in an x-y graph, y = 0.
What are the roots of polynomial?
The "roots" of a polynomial are the solutions of the equation polynomial = 0. That is, any value which you can replace for "x", to make the polynomial equal to zero.
How do you find the factors of polynomails function of degree greater than 20?
With difficulty. Plot a graph of the polynomial and see where it crosses the x axis. If it does, then y=0 at that point, and (x-a) is a factor. Sometimes you might spot where the polynomial is zero just by trying various values.
