Question

The graph of y = f(x), where f(x) is a quadratic polynomial meets the
x-axis at A(–2, 0) and B(–3,0), then the expression for f(x) is :
(a) x 2 +5x + 6 (b) x 2 - 5x + 6 (c)x 2 +5x- 6 (d) x 2 -5x– 6

Answer 1

Answer:

given A(-2, 0) and B(-3, 0)

to find the polynomial f(x)

from the coordinates of A and B, it is evident that the curve intersects the x axis at -2 and -3

therefore - 2 and - 3 are the zeros of the polynomial f(x)

therefore f(x) is given by

x² - x(sum of zeros) + product of zeros

=> x² - x(-2 -3) + (-2)(-3)

=> x² + 5 x + 6