Polynomials Tes...

STATEMENT -1 : From the given graph of y $$=$$ p(x), number of zeroes of p(x) is 1.
STATEMENT -2 : The number of points where the graph cuts the x-axis gives the zeroes of any polynomial p(x).

Find the number of zeroes for the graphs shown respectively.

If $$\alpha$$ and $$\beta$$ are the zeros of the polynomial $$f(x)=6x^2-3-7x$$, then $$(\alpha+1)(\beta+1)$$ is equal to

If $$\alpha, \beta$$ be the zeros of the quadratic polynomial $$2-3x-x^2$$, then $$\alpha+\beta=$$

The sum and product of zeros of the quadratic polynomial are - 5 and 3 respectively the quadratic polynomial is equal to

Let $$p(x) = ax^2 + bx + c$$ be a quadratic polynomial. It can have at most

If $$\alpha, \beta, \gamma$$ are zeros of the polynomial $$ax^3+bx^2+cx+d$$, then $$\alpha \beta \gamma = $$

If one of the zeros of the cubic polynomial $$x^3 + ax^2 + bx + c$$ is $$-1$$, then the product of the other two zeros is

If the zeros of the quadratic polynomial $$x^2 + (a + 1) x + b$$ are $$2$$ and $$-3$$, then