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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.

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Q: When polynomial is a quadratic polynomial?
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What is a polynomial equation of degree two called?

quadratic


What is the mathematical term for a polynomial with 3 terms in the 3rd degree?

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.


Why do math problems have two answers?

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.


What factor of 6x2 plus x1 - 11 in zeros of polynomial function?

That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (-1 plus or minus the square root of 265) divided by 12 x = 1.2732350496749756 x = -1.439901716341642


How do you find the discriminant of a polynomial?

The discriminant of the quadratic equation ax2+bx+c = 0 is the value of b2-4ac When b2-4ac = 0 then there are 2 equal roots. When b2-4ac > 0 then there are 2 different roots. When b2-4ac < 0 then there are no roots at all.

Related questions

What is a quadratic polynomial which has no zeros?

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.


Is a quadratic polynomial a second-degree polynomial?

Yes.


A second-degree polynomial is a quadratic polynomial?

Yes.


A quadratic polynomial is a third-degree polynomial?

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).


What type of polynomial is 2x2-6x 4?

A quadratic polynomial.


Sum and product of the zeros of a quadratic polynomial are -12 and -3 respectively what is the quadratic polynomial?

x2 + 15x +36


If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?

It will be a cubic polynomial.


True or false A second-degree polynomial is a quadratic polynomial?

true.


What type of polynomial is 7x2 - 5x plus 2?

It is a quadratic polynomial.


A monomial or sum of monomials?

Quadratic polynomial


A polynomial equation of degree two?

A Quadratic


Does a quadratic polynomial has a degree of 2?

Yes.