Question

how to find the zeros of quadratic polynomials which have numbers in roots

Answer 1

Answer:

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. This quadratic can written as (x -2)(x - 2) = (x - 2)², in the quadratic

polynomial if we change it as quadratic equation by equating it with 0, we get the two values of x as 2 and 2, or only 2.

In general form we can find as many quadratic polynomials as we want by replacing 2 by k where k is any value like, 1, 2, 3, ... etc. All quadratic polynomials with any value of k have only one zero.

So, a quadratic polynomial that has only one

zero is (x - 2)²

Step-by-step explanation:

Note: In these types of questions, understand the things asked in question. As we know that quadratic polynomial means a polynomial with degree 2, or variable has two values either of the same value or different values. Do not confuse as if a polynomial has only one zero, then this will be a linear polynomial not a quadratic polynomial. Not only a quadratic polynomial can have only one value but a cubic polynomial can also have only one value.