questions

How do you find the zeroes of a polynomial p(x) from the graph of y=p(x)?

The intersection of polynomial graph on the x-axis gives the roots.

Write the zeroes of the polynomial if the graph of y=p(x), the parabola, intersects the x-axis at (-3, 0) and (-1, 0).

The roots are x coordinate values, i.e. -3 and -1.

Give an example of polynomials f(x), g(x), q(x) and r(x) satisfying f(x) =g(x)q(x)+r(x) where deg r(x) = 0.

g(x) = x² + 1 

q(x) = x

r(x) = 2

Hence f(x) = x(x²+1) + 2 = x³ + x + 2

Regards,

Team,

TopperLearning.