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Quadratic equations are called quadratic because quadratus is Latin for ''square'';in the leading term the variable is squared. also...it is form of ax^2+bx+c=0
For an expression/equation such as this example, -12x^4-8x^2-7, the terms would be as follows: Term 1: -12x^4 Term 2: -8x^2 Term 3: -7 This particular equation has 3 terms, 3 coefficients, but only 1 leading coefficient. These are as follows also: Coefficient 1: -12 Coefficient 2: -8 Coefficient 3: -7 And the last one: Leading Coefficient: -12 Generally the answers are written in descending order according to their exponential power above the variable, which in this case is "x". This means the greater the power of "x", the sooner it will be written down. X^4 is first, x^2 is next, and x^0 is last. Note: x^0 always equals 1.
If the polynomial is in terms of the variable x, then look for the term with the biggest power (the suffix after the x) of x. That term is the leading term. So the leading term of x2 + 5 + 4x + 3x6 + 2x3 is 3x6 If you are likely to do any further work with the polynomial, it would be a good idea to arrange it in order of the descending powers of x anyway.
x2 + 4x = 41