Quadratic

[dtweah]

Given the quadratic p(x) = x2 + bx + c, if p(3) – p(2) = 7 then
p(4) – p(3) equals

(a) 9
(b) 11
(c) 14
(d) 21
(e) cannot determine from the given data.

[chetanojha]

I am getting 9.

When substitute in 3 and 2 in equation

p(3) = 3^2 + b*3 + c --(1)
p(2) = 2^2 + b*3 + c --(2)

From 1 and 2 above, using equation p(3) – p(2) = 7 you get b=2

Similarly substituting 4 and 2 in the required equation with b=2 you get 9.

What is OA?

Given the quadratic p(x) = x2 + bx + c, if p(3) – p(2) = 7 then
p(4) – p(3) equals

(a) 9
(b) 11
(c) 14
(d) 21
(e) cannot determine from the given data.

[KICKGMATASS123]

I'm getting 9 as well..

You find the value of b from equations p(3) and p(2)

Then substitute this value into finding p(4)- p(3)

[artistocrat]

9 indeed.

p(x)=x^2+bx+c

p(3)=9+3b+c
-p(2)=4+2b+c
____________
5+b=7
b=2

p(4)=16+(4*2)+c
-p(3)=9+6+c
____________
=9