ZEROES OF POLYNOMIAL

What is a Zero of a Polynomial ?

Zero of the zero polynomial is

Zero of the polynomial p(x) =2x+5 is

One of the zeroes of the polynomial 2x^(2)+7x-4 is

Which of the graphs given below corresponds to linear polynomial or a quadratic polynomial ? Also, find the number of zeroes of the polynomial in each case.

In Fig. 2.17, the graph of a polynomial p(x) is given. Find the zeros of the polynomial. (FIGURE)

Consider the quadratic polynomial f(x) =x^2/4-ax+a^2+a-2 then (i) If the origin lies between zero's of polynomial, then number of integral value(s) of 'a' is (ii) if a varies , then locus of the vertex is :

For each of the following find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also, find the zeroes of these polynomials by factorisation. (i) (-8)/(3),(4)/(3) (ii) (-3)/(2sqrt(5)),-(1)/(2)