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When is a negative number raised to an odd power negative?
It is always negative when raised to an odd power and always positive when raised to an even power -2 to the third power = -2 x -2 x -2 = -8 -2 to the fourth power = -2 x -2 x -2 x -2 = +16
What are the rules fr multiplication and divisions of integers?
(positive number) x (positive number) = positive number (positive number)/(positive number) = positive number (positive number) x ( negative number) = negative number (positive number)/( negative number) = negative number (negative number) x (negative number) = positive number (negative number)/(negative number) = positive number
What is the minimum number of x-intercepts that a 7th degree polynomial might have?
1
When multiplying a negative number by a positive number is the result going to be negative or positive?
The result will always be negative. Positive X Positive = Positive Negative X Negative = Positive Positive X Negative = Negative
What is the number in front of the term with the highest degree in a polynomial?
It is the Coefficient. It only refers to the given term that it is front. e.g. 2x^2 - 3x + 1 The '2' in front of 'x^2' only refers to 'x^2'. The '-3' in front of 'x' is the coefficient of '-3' The '1' is a constant.
Is -4x a polynomial?
Yes, -4x is a polynomial. A polynomial is an expression that consists of variables raised to non-negative integer powers, multiplied by coefficients. In this case, -4 is the coefficient and x is the variable raised to the first power, which meets the criteria for a polynomial. Thus, -4x is a linear polynomial.
What is the difference be a polynomial function and an exponential function?
In a polynomial function, the variable x is raised to some integer power. f(x) = 5x³ + 8x⁵ g(x) = (x + 5)² In an exponential function, some real number is raised to the power of variable x or some function of x f(x) = 5ˣ g(x) = eˣ⁺²
When is a negative number raised to an odd power negative?
It is always negative when raised to an odd power and always positive when raised to an even power -2 to the third power = -2 x -2 x -2 = -8 -2 to the fourth power = -2 x -2 x -2 x -2 = +16
Is x to the power of -2 a polynomial?
No. By the definition of a polynomial, the powers can only be non-negative integers.
How do you find Polynomial?
A polynomial is a sum of a finite number of terms in which each term is of the form a*Xn where a is a coefficient, X is a variable and n is a non-negative integer.a may be integer, rations, real or complex;X may be a numerical variable or a matrix.
What does 10 to the negative 73 power equal?
Any number x raised to a negative power -y is equivalent to the reciprocal of x raised to y. So, 10-73 would be the fraction 1 over the number 1 with 73 zeroes after it. A very small number indeed!
What is x to the negative 7th power?
When a number is raised to a negative exponent, it is equivalent to its reciprocal raised to the positive exponent. Therefore, x to the power of -7 is equal to 1 divided by x to the power of 7, or 1/x^7.
When is a function considered polynomial function?
A polynomial function of a variable,x, can be written as a sum of non-negative integer powers of x. For example, f(x) = 5x5 + 27x2 - 37/3 x + 2.36.
Why doesnt the function y ex ever cross the x-axis?
no number can be raised to a power and equal 0 (x^y can never = 0). e is positive (about 2.7) and any positive number can not be raised to a power and equal negative (positive number X positive number = positive number)
To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - b is a factor?
a
To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - a is a factor?
B
To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - c is a factor?
a
