Yes, that's the same thing.
Try the quadratic formula. X = -b ± (sqrt(b^2-4ac)/2a)
There is an infinity of ways of finding rectangles fulfilling this, and another infinity of ways of finding ellipses fulfilling this, and another infinity of other shapes fulfilling this.
Distributive
Yes.
The discriminant of the quadratic polynomial ax2 + bx + c is b2 - 4ac.
She was afraid it would be constant. (Constance) She was afraid it would be a related function.
Evaluating a polynomial is finding the value of the polynomial for a given value of the variable, usually denoted by x. Solving a polynomial equation is finding the value of the variable, x, for which the polynomial equation is true.
Try the quadratic formula. X = -b ± (sqrt(b^2-4ac)/2a)
Substitute that value of the variable and evaluate the polynomial.
Slant asymptotes are obscure and those will not be used in any decent class, but they are found by long dividing and using only the polynomial part, not the remainder over the divisor, and that is the equation for the slant asymptote. For example, ( -3x^2 + 2 ) / ( x - 1 ) when long divided out becomes -3x - 3 - ( 1 / x - 1 ). The last term drops and it becomes -3x - 3. Horizontal asymptotes are found by taking the limit of the function as x tends towards infinity and negative infinity. Vertical ones are found by finding points where the graph is undefined (where the denominator is 0).
There is an infinity of ways of finding rectangles fulfilling this, and another infinity of ways of finding ellipses fulfilling this, and another infinity of other shapes fulfilling this.
Distributive
Yes.
It means finding numbers (constant terms), or polynomials of the same or smaller order that multiply together to give the original polynomial.
The discriminant of the quadratic polynomial ax2 + bx + c is b2 - 4ac.
Finding Beauty in Negative Spaces was created on 2007-10-19.
To start with, when you multiply an even number of negative numbers, the answer is positive. When you multiply an odd number of negative numbers, the answer is negative. When you multiply any number of positive numbers, the answer is always positive. For positive numbers, the value of a power is always positive. For negative numbers, the value of an odd power is negative, and the value of an even power is positive. Finding roots is the inverse of taking powers, so that an odd-root function can be evaluated for any value of x. An even-root function, however, cannot be evaluated when the value of x is negative, since an even power can never result in a negative answer. The domain of an odd root function is all real numbers; the domain of an even root function is the non-negative real numbers.