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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
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.
49-(4*3*4) = 1
72-4*3*4 = 1
The discriminant is 1.
52-4*7*1 = -3 The discriminant is less than zero so the quadratic equation will have no solutions.
The discriminant, ( first positive 4 in the constant, then negative 4 as you did not specify this ) b2 - 4ac ------------ (- 7)2 - 4(3)(4) 49 - 48 = 1 ============a positive number means two real roots ( - 4 now ) ( - 7)2 - 4(3)(- 4) 49 + 48 = 97 ============still positive and two real roots
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.
If the discriminant is negative, there are 0 interceptsIf the discriminant is zero, there is 1 interceptIf the discriminant is positive, there are 2 intercepts
The discriminant tells you how many solutions there are to an equation The discriminant is b2-4ac For example, two solutions for a equation would mean the discriminant is positive. If it had 1 solution would mean the discriminant is zero If it had no solutions would mean that the discriminant is negative
The discriminant is 33.
7
The discriminant of y = x^2 - x + 20 is 1 - 4*1*20 = -79
y = 6x2 + x -1 ?? discriminant = b2 - 4ac = 12 - 4(6)(-1) = 25