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Can you solve this polynomial equation by factorization and examine the curvature of the function the equation function is X squared plus 4x minus 5 equals 0?
For the equation:
x2+4x-5 = 0
Factoring yields:
(x+5)(x-1) = 0
The zero identity states that setting these factors individually equal to zero will yield valid solutions to this equation.
x+5 = 0, x = -5
x-1 = 0, x = 1
So the values x=-5 and x=1 solve this equation.
For the mathematical function:
y = x2+4x-5
The derivatives for this function are as such:
y' = 2x+4
y'' = 2
The second derivative is a constant positive number (2), so it is always positive. Since the second derivative is always positive, its curvature is always concave upward.
What else can I help you with?
How do you do a parabola?
A parabola is a graph of a 2nd degree polynomial function. Two graph a parabola, you must factor the polynomial equation and solve for the roots and the vertex. If factoring doesn't work, use the quadratic equation.
A polynomial function is always continuous?
Yes, a polynomial function is always continuous
If you are asked to write a polynomial function of least degree with real coefficients and with zeros of 2 and i square roots of seven what would be the degree of the polynomial also wright equation?
3y2-5xyz yay i figured it out!!!!
Is an absolute value function a polynomial function?
No it is not
What is a second degree polynomial function?
A second-degree polynomial function is a function of the form: P(x) = ax2 + bx + cWhere a ≠ 0.
What is a rational equation or rational function?
It is any function which can be written as the ratio of two polynomial functions.
How do you find the zeros of any given polynomial function?
by synthetic division and quadratic equation
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.
How do you do a parabola?
A parabola is a graph of a 2nd degree polynomial function. Two graph a parabola, you must factor the polynomial equation and solve for the roots and the vertex. If factoring doesn't work, use the quadratic equation.
Is y equals 5x2 a function?
Yes, the equation ( y = 5x^2 ) represents a function. In this equation, for every input value of ( x ), there is exactly one output value of ( y ), as the equation defines ( y ) in terms of ( x ). Specifically, it is a quadratic function, which is a type of polynomial function.
Can the exponents in a polynomial function be negative?
No. It would not be a polynomial function then.
How do you find the y intercepts for a polynomial function?
To find the y-intercepts of a polynomial function, set the value of ( x ) to 0 and solve for ( y ). This involves substituting 0 into the polynomial equation and simplifying to find the corresponding ( y )-value. The y-intercept is the point where the graph of the function crosses the y-axis, represented as the coordinate (0, ( y )).
A polynomial function is always continuous?
Yes, a polynomial function is always continuous
Is log n considered a polynomial function?
No, log n is not considered a polynomial function. It is a logarithmic function, which grows at a slower rate than polynomial functions.
If you are asked to write a polynomial function of least degree with real coefficients and with zeros of 2 and i square roots of seven what would be the degree of the polynomial also wright equation?
3y2-5xyz yay i figured it out!!!!
How is a rational function the ratio of two polynomial functions?
That's the definition of a "rational function". You simply divide a polynomial by another polynomial. The result is called a "rational function".
How does my knowledge of polynomial function prepare me to understand rational function?
A rational function is the quotient of two polynomial functions.
