An "extreme value" is either a local maximum, or a local minimum - i.e., a point which is greater than all the points in a certain neighborhood, or less than all points in a certain neighborhood.
A "root" of a polynomial is any value which, when replaced for the variable, results in the polynomial evaluating to zero. For example, in the polynomial x2 - 9, if you replace "x" by 3, or by -3, the resulting expression is equal to zero.
A minimum value (of any function, not just a polynomial) is a value that has a lower value than any nearby value. A global minimum is a value that is lower than ANY other value. (This answer is just a brief and informal overview; check the Wikipedia article on "maxima and minima" for a more detailed explanation.)
X2 - X - 2(X + 1)(X - 2)===============(X + 1) is a factor of the above polynomial.
variable
To determine the relationship between ( (x - 2) ) and the polynomial ( 2x^3 + x^2 - 3 ), we can perform polynomial division. If ( (x - 2) ) divides the polynomial evenly, then ( (x - 2) ) is a factor of the polynomial. Alternatively, we can evaluate the polynomial at ( x = 2 ); if the result is zero, it confirms that ( (x - 2) ) is a factor. In this case, substituting ( x = 2 ) gives ( 2(2)^3 + (2)^2 - 3 = 16 + 4 - 3 = 17 ), indicating that ( (x - 2) ) is not a factor of the polynomial.
A value of the variable when the polynomial has a value of 0. Equivalently, the value of the variable when the graph of the polynomial intersects the variable axis (usually the x-axis).
A "root" of a polynomial is any value which, when replaced for the variable, results in the polynomial evaluating to zero. For example, in the polynomial x2 - 9, if you replace "x" by 3, or by -3, the resulting expression is equal to zero.
A minimum value (of any function, not just a polynomial) is a value that has a lower value than any nearby value. A global minimum is a value that is lower than ANY other value. (This answer is just a brief and informal overview; check the Wikipedia article on "maxima and minima" for a more detailed explanation.)
No it’s not a factor
X2 - X - 2(X + 1)(X - 2)===============(X + 1) is a factor of the above polynomial.
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variable
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To determine the relationship between ( (x - 2) ) and the polynomial ( 2x^3 + x^2 - 3 ), we can perform polynomial division. If ( (x - 2) ) divides the polynomial evenly, then ( (x - 2) ) is a factor of the polynomial. Alternatively, we can evaluate the polynomial at ( x = 2 ); if the result is zero, it confirms that ( (x - 2) ) is a factor. In this case, substituting ( x = 2 ) gives ( 2(2)^3 + (2)^2 - 3 = 16 + 4 - 3 = 17 ), indicating that ( (x - 2) ) is not a factor of the polynomial.
Value added to resources that already exist.
Range.
π is a transcendental number which is defined to be the ratio between the diameter and circumference of any circle. (A transcendental number is a number which is not a root of a non-zero polynomial with rational coefficients.)