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What is a polynomial of degree 3 that has no real zeros?
If the coefficients of a polynomial of degree three are real it MUST have a real zero. In the following, asymptotic values are assumed as being attained for brevity: If the coeeff of x3 is positive, the value of the polynomial goes from minus infinity to plus infinity as x goes from minus infinity to plus infinity. The reverse is true if the coefficient of x3 is negative. Since all polynomials are continuous functions, the polynomial must cross the x axis at some point. That's your root.
What is the degree of this polynomial 3x2 - 4x plus 9?
The degree of this polynomial is 2.
What is 1 followed by 30 zeros?
here is a list of numbers starting from million to vigintillion 1 plus 6 zeros is 1 million 1 plus 9 zeros is 1 billion 1 plus 12 zeros is 1 trillion 1 plus 15 zeros is 1 quadrillion 1 plus 18 zeros is 1 quintillion 1 plus 21 zeros is 1 sextillion 1 plus 24 zeros is 1 septillion 1 plus 27 zeros is 1 octillion 1 plus 30 zeros is 1 nonillion 1 plus 33 zeros is 1 decillion 1 plus 36 zeros is 1 undecillion 1 plus 39 zeros is 1 duodecillion 1 plus 42 zeros is 1 tredecillion 1 plus 45 zeros is 1 quattuordecillion 1 plus 48 zeros is 1 quindecillion 1 plus 51 zeros is 1 sexdecillion 1 plus 54 zeros is 1 septendecillion 1 plus 57 zeros is 1 octodecillion 1 plus 60 zeros is 1 novemdecillion 1 plus 63 zeros is 1 vigintillion
Is it 2x plus 3x plus 4x plus 5x is a polynomial?
yes, and it is 14x
What is the degree of this polynomial 5a2 plus 6ab-7b2?
2 is.
When simplified and written in standard form which quadratic function is equivalent to the polynomial shown 2 plus 7c and ndash 4c2 and ndash 3c plus 4?
To simplify the polynomial ( -4c^2 + 7c + 2 - 3c + 4 ), first combine like terms. The ( c ) terms are ( 7c - 3c = 4c ), and the constant terms are ( 2 + 4 = 6 ). Thus, the simplified polynomial is ( -4c^2 + 4c + 6 ). In standard form, this quadratic function is written as ( -4c^2 + 4c + 6 ).
State whether the following is a polynomial function give the zero s of the function if the exist f x x 2-6x plus 8?
The function ( f(x) = x^2 - 6x + 8 ) is a polynomial function because it is a quadratic expression. To find the zeros, we can factor it as ( (x - 2)(x - 4) ), which gives us the zeros ( x = 2 ) and ( x = 4 ). Thus, the zeros of the function are 2 and 4.
Use the graphing calculator to graph and find the zeros of the function y 2x2 plus 0.4x and ndash 19.2. The zeros of the function are?
To find the zeros of the function ( y = 2x^2 + 0.4x - 19.2 ), you can use a graphing calculator to graph the equation. The zeros are the x-values where the graph intersects the x-axis (where ( y = 0 )). By using the calculator's zero-finding feature, you should find the approximate values for ( x ). The zeros of the function are the solutions to the equation ( 2x^2 + 0.4x - 19.2 = 0 ).
What are the zeros of f(x) x2 and ndash 8x plus 16?
To find the zeros of the function ( f(x) = x^2 - 8x + 16 ), we can set it equal to zero: ( x^2 - 8x + 16 = 0 ). This can be factored as ( (x - 4)(x - 4) = 0 ), which gives us a double root. Therefore, the zero of the function is ( x = 4 ).
What is the difference between a transcendental an algebraic function?
An algebraic function is a function built from polynomial and combined with +,*,-,/ signs. The transcendental it is not built from polynomial like X the power of Pie plus 1. this function is transcendental because the power pi is not integer number in result it can't be a polynomial.
What factor of 6x2 plus x1 - 11 in zeros of polynomial function?
That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (-1 plus or minus the square root of 265) divided by 12 x = 1.2732350496749756 x = -1.439901716341642
State whether the following is a polynomial function give the zeros both real and imaginary of the function if they exist g x x 2-3x-4 x 2 plus 1?
The function ( g(x) = \frac{x^2 - 3x - 4}{x^2 + 1} ) is not a polynomial function because it is a rational function (the ratio of two polynomials). To find the zeros, we set the numerator equal to zero: ( x^2 - 3x - 4 = 0 ). The zeros can be found using the quadratic formula: ( x = \frac{3 \pm \sqrt{(3)^2 - 4(1)(-4)}}{2(1)} ), which simplifies to ( x = 4 ) and ( x = -1 ). The denominator ( x^2 + 1 = 0 ) gives imaginary zeros ( x = i ) and ( x = -i ).
What function has a vertex at the origin f(x) (x plus 4)2 f(x) x(x and ndash 4) f(x) (x and ndash 4)(x plus 4) f(x) and ndashx2?
It is f(x) = -x2 or (-x)2, whichever you intended.
What kind of polynomial is this 2x5 plus 2x4 plus 2x plus 1?
A fifth degree polynomial.
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 2 -4 and 1 plus 3i?
To write a polynomial function with real coefficients given the zeros 2, -4, and (1 + 3i), we must also include the conjugate of the complex zero, which is (1 - 3i). The polynomial can be expressed as (f(x) = (x - 2)(x + 4)(x - (1 + 3i))(x - (1 - 3i))). Simplifying the complex roots, we have ((x - (1 + 3i))(x - (1 - 3i)) = (x - 1)^2 + 9). Thus, the polynomial in standard form is: [ f(x) = (x - 2)(x + 4)((x - 1)^2 + 9). ] Expanding this gives the polynomial (f(x) = (x - 2)(x + 4)(x^2 - 2x + 10)), which can be further simplified to the standard form.
What is the polynomial for x2 plus 11x plus 30?
The actual equation itself is the polynomial. There is no polynomial for it, and your question doesn't really make sense.
If f(x) 3x plus 10x and g(x) 4x and ndash 2 find (f and ndash g)(x).?
It is 9x + 2.
