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The actual equation itself is the polynomial. There is no polynomial for it, and your question doesn't really make sense.
Since there is nothing following, none of them!
Yes. This is because the rate of change is equal to a (i.e. the slope is a). a never changes, so its linear.
Yes, this is a polynomial (or quadratic) equation. X is the variable. So, for instance, if x=2, then the answer would be 96 + 68 + 12 = 176.
The discriminant is 88 which means that the given quadratic equation has two different solutions for x
The actual equation itself is the polynomial. There is no polynomial for it, and your question doesn't really make sense.
Since there is nothing following, none of them!
Because if you plot the point on a graph that the equation generates, it will produce a straight line(Linear). NB An eq'n of the form Ax^(2) + Bx + C = 0 is NOT linear, because in plotting the points on a graph it produces a curved bowl/umbrella.
Yes, 18y3 + 2y2 + 1 is a polynomial; it is a cubic expression. If it were expanded to form an equation, then it would be a cubic equation (or higher), capable of solution.
You can find the roots with the quadratic equation (a = 1, b = 3, c = -5).
Yes. This is because the rate of change is equal to a (i.e. the slope is a). a never changes, so its linear.
A fifth degree polynomial.
Yes, this is a polynomial (or quadratic) equation. X is the variable. So, for instance, if x=2, then the answer would be 96 + 68 + 12 = 176.
52-4*7*1 = -3 The discriminant is less than zero so the quadratic equation will have no solutions.
For the equation: x5+7x3-30x=0 The highest exponent in the entire equation is 5 (from x5), so the equation is of degree 5.
The discriminant is 88 which means that the given quadratic equation has two different solutions for x
To factor the polynomial ( x^3 - 3x^2 + x - 3 ), we first apply the Rational Root Theorem and test possible rational roots. After testing, we find that ( x = 3 ) is a root. Using synthetic division, we divide the polynomial by ( (x - 3) ) to obtain ( x^2 + 1 ). Thus, the complete factorization is ( (x - 3)(x^2 + 1) ).