Can a quadratic polynomial have more than 2 zeros?

D. exactly 2 zeros. A quadratic polynomial have at most two zeros because the degree of x is 2.

What are the two zeros in quadratic polynomial?

The zeros of any function are the roots or the x-intercepts( the points where the line or curve cuts the x-axis). In the case of a quadratic function, we have two zeros/roots/x-intercepts. They can be found using various factorization methods, Completing the square, quadratic formula and graphing.

How many zeros does a quadratic polynomial have and why?

2 zeroes
There are 2 zeroes in a quadratic polynomial.

How many zeros can have a quadratic polynomial?

two zeroes
Since a quadratic polynomial cannot have more than two zeroes, we do not even need to calculate the values of the polynomial for the last two options. This polynomial will have two real and distinct zeroes.

Can a quadratic polynomial have less than 2 zeroes?

Quadratic polynomial have two zeroes, not more or less than it because quadratic equation interests the x-axis at 2 points and many reasons,. If you study the Quadratic polynomial then you know about it.

Can a quadratic polynomial have both zeros equal?

There are always two zeros for any quadratic polynomial. The zeros of a polynomial are those values of the variable for which the polynomial as a whole has zero value. The sum and product of zeros in a quadratic polynomial have a direct relation with the coefficients of variables in the polynomial.

Can a polynomial have two zeros?

If we have two zeros of a quadratic equation then the polynomial could be formed by using the simplified result which could be stated as: x2−(a+b)x+ab, where a and b are two zeroes of the equation. According to the problem statement, the two zeros of a polynomial are -2 and 5.

Do quadratic functions have zeros?

A quadratic function is graphically represented by a parabola with vertex located at the origin, below the x-axis, or above the x-axis. Therefore, a quadratic function may have one, two, or zero roots.

Can a quadratic polynomial have 0 zeros?

The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function. But, from our question, it is said that the quadratic polynomial has no zero, which means there exists no x for which the graph intersects the x-axis.

Can a quadratic polynomial has one zero?

Polynomials that have only one zero means both values of the variable are the same. This is the case of equal zeros of a quadratic equation. Let x be the variable of a quadratic equation and both zeroes of the quadratic equation is 2, i.e., equal roots. So, a quadratic polynomial that has only one zero is (x−2)2 .

What do the zeros of a quadratic function represent?

The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of x at which y=0 . There may be zero, one, or two x -intercepts.

How do u find the zeros of a quadratic function?

Answer: Given that x 2 + 1 = 0 x^{2} + 1 = 0 x2+1=0. We will find the zeros of this quadratic function using the Quadratic formula. a = 1, b = 0, c = 1. Therefore the zeros of the quadratic function x 2 + 1 = 0 x^{2} + 1 = 0 x2+1=0 are x = + i , − i x = + i, – i x=+i,−i and both of them are complex (not real).

How many zeros does a quadratic polynomial have?

A quadratic polynomial has 2 zeroes. Because degree of a quadratic polynomial is 2. So the polynomial has 2 linear factors. And the product of these 2 linear factors = 0. => one of the linear factors = 0.

What if the discriminant of a quadratic function is less than zero?

If the discriminant of a quadratic function is less than zero, that function has no real roots, and the parabola it represents does not intersect the x -axis.

Is bx + c = 0 a quadratic function?

No. bx + c = 0 is not a quadratic function. A quadratic function has to be a second degree polynomial, meaning it has an x^2 term. What does the discriminant tell us?

Is derivation of quadratic formula is not enough?

Suppose there are three distinct roots x, y, z. One has which is a contradiction. I think derivation of quadratic formula is not enough…. Yes it is. The derivation is of the form if a x 2 + b x + c = 0, then x = − b ± b 2 − 4 a c 2 a. The derivation is a proof if you pay attention.