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Rase Study -2 Cainb is an arch of colours that is visible in the sky after rain or when water droplets are present in the atmosphere. The colours of the rainbow colour of then, red, orange, yellow, green, blue, indigo and violet. Each polynomial p(x)=ax 2 +bx+s a parabola. We know that any quadratic paper. Based on the above, answer the following questions: (i) The graph of a rainbow y=f(x) is shown in the figure. Write the number of zeroes of the curve. (ii) If the graph of a rainbow does not intersect the x-axis but intersects y-axis at one point, then how maný zeroes will it have? (iii) (a) If a rainbow is represented by the quadratic polynomial p(x)=x 2 +(a+1)x+b, whose zeroes are 2 and -3 , find the value of a and b.

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