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The sign for the constant term is missing!
Assuming it is meant to be a +
the discriminant = (-4)2 - 4*(-3)*(1) = 16 + 12 = 28
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52-4*7*1 = -3 The discriminant is less than zero so the quadratic equation will have no solutions.
As many as you like. The highest power of the variable in question (usually x) defines the degree of the polynomial. If the degree is n, the polynomial can have n+1 terms. (If there are more then the polynomial can be reduced.) But there is NO LIMIT to the value of n.
No. A polynomial has positive powers of the variable.
The discriminant is 36 which means the quadratic equation has two solutions which are 5 and -1
A zero of a polynomial function - or of any function, for that matter - is a value of the independent variable (often called "x") for which the function evaluates to zero. In other words, a solution to the equation P(x) = 0. For example, if your polynomial is x2 - x, the corresponding equation is x2 - x = 0. Solutions to this equation - and thus, zeros to the polynomial - are x = 0, and x = 1.