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That all depends on the meaning of the context. If you want to determine the values of the polynomial function, then you need to substitute the value for the input variable of the function. Finally, evaluate it. For instance: f(x) = x + 2 If x = 2, then f(2) = 2 + 2 = 4.
Any multiple of X^2+X/2-1/2
Easy. Same thing as the graph of f(x) = x^2 + 1 which have NO intercept.
Yes, 18y3 + 2y2 + 1 is a polynomial; it is a cubic expression. If it were expanded to form an equation, then it would be a cubic equation (or higher), capable of solution.
-2
That all depends on the meaning of the context. If you want to determine the values of the polynomial function, then you need to substitute the value for the input variable of the function. Finally, evaluate it. For instance: f(x) = x + 2 If x = 2, then f(2) = 2 + 2 = 4.
Any multiple of X^2+X/2-1/2
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.
A polynomial of degree 2.
A polynomial function is simply a function that is made of one or more mononomials. For example 4x^2+3x-5 A rational function is when a polynomial function is divided by another polynomial function.
x^2+2x+1
Assuming the polynomial is written in terms of "x": It means, what value must "x" have, for the polynomial to evaluate to zero? For example: f(x) = x2 - 5x + 6 has zeros for x = 2, and x = 3. That means that if you replace each "x" in the polynomial with 2, for example, the polynomial evaluates to zero.
It can have 1, 2 or 3 unique roots.
It is x^3 - x^2 - 4x + 4 = 0
The table shows ordered pairs for a polynomial function, f х f(x) -3 63 --2 8 -1 - 1 0 0 1 -1 2 8 3 63 What is the degree of f?
To square an expression, multiply it by itself. And to multiply a polynomial by a polynomial, multiply each part of one polynomial by each part of the other polynomial.
x2 + 2x - 7 is a quadratic polynomial. Every polynomial defines a function called P. Any value of x for which P(x) = 0 is a root of the equation and a zero of the function. x2 + 2x - 7 = 0 add 1 and 7 to both sides x2 + 2x + 1 = 8 (x + 1)2 = 8 take the square root of both sides x + 1 = ± √8 subtract 1 to both sides x = -1 ± 2√2 Thus, the roots of the equation are -1 - 2√2 and -1 + 2√2.