Whenever there are polynomials of the form aX2+bX+c=0 then this type of equation is know as a quadratic equation.
to solve these we usually break b into two parts such that there product is equal to a*c and I hope you know how to factor polynomials.
quadratic
A third degree polynomial is called a cubic - regardless of how many terms it has, it is named after the highest power.x3+ x - 1 is still a cubic, despite the lack of an x2term. Likewise, x2- 4 is still a quadratic, and x4- 2x is called a quartic.
Simpson's Rule provides an exact answer when the integrand is a polynomial of degree three or less. This is because Simpson's Rule approximates the area under the curve by fitting a quadratic polynomial to the function, which perfectly matches the function if it's a polynomial of degree three or lower. For higher-degree polynomials, the approximation may not be exact. Additionally, it can also yield exact results for certain periodic functions over specific intervals.
Assuming that you are reffering to something like this: (x - h)(x - k) = 0 x = h, x = k This is the fundamental theorem of algebra which states that is given a polynomial (multiple terms raised to positive powers ex) x^3 + 2x + 1), then the number of solutions to that polynomial is equal to the degree (or highest exponent) in the polynomial. The factorization in the beginning was dealing with a quadratic equation - when foiled out it equals x^2 - hx - kx + hk. The highest exponent in the quadratic is two and therefore there are two solutions. You can even think back to the factorization again: if x = h then the whole equation is 0, if x = k then the whole equation is 0.
Oh, dude, it's like super simple. So, basically, you classify polynomials based on their degree, which is the highest power of the variable in the polynomial. If the highest power is 1, it's a linear polynomial; if it's 2, it's quadratic; and if it's 3, it's cubic. Anything beyond that, like a fourth-degree polynomial or higher, we just call them "higher-degree polynomials." Easy peasy, lemon squeezy!
A quadratic polynomial must have zeros, though they may be complex numbers.A quadratic polynomial with no real zeros is one whose discriminant b2-4ac is negative. Such a polynomial has no special name.
Yes.
Yes.
No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).
x2 + 15x +36
A quadratic polynomial.
It will be a cubic polynomial.
true.
It is a quadratic polynomial.
Quadratic polynomial
A Quadratic
Yes.