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 :  y =  f(x) is a quadratic polynomial meets the x-axis at A(-2,0) and B(-3,0),

To find : the expression for f(x)

Solution:

y = f(x)

meets the x-axis at A(-2,0) and B(-3,0)

=> f(-2) = 0    &  f(-3) = 0

=> -2  &  - 3 are zeroes  of f(x)

Sum of Zeroes =  -5

product of Zeroes = 6

f(x) = x² - (Sum of Zeroes)x + Product

= x² + 5x  + 6  

f(x) =   x² +