Question

Determine coefficients a and b such that p(x)=x^2+ax+b satisfies p(1)=2 and p′(1)=11.

Answer 1

where are you stuck?

Answer 2

um ok so first you have to find the derivative right?

Answer 3

ok

Answer 4

maybe

Answer 5

you can solve for the p(x) without the derivative, you need it for the p'(x) however

Answer 6

yeah i know so if p(1) = 2 then that means a+b is 1 right?

Answer 7

are you sure?

Answer 8

i'm guessing that's wrong

Answer 9

\(p(1) = 2 = x^2+ax + b \rightarrow 2 = (1)^2+ a(1) + b \)

Answer 10

yeah so if 1+a+b = 2 then a+b is 1

Answer 11

so a and b cannot be both 1

Answer 12

read the question "Determine coefficients a and b such..."

Answer 13

oh no yeah i meant the sum of a+b is 1

Answer 14

now try to get the derivative of p(x)

Answer 15

ok p'(x) is 2x + a

Answer 16

apply p'(1) = 11

Answer 17

ok i got a = 9 and b= -8

Answer 18

aight

Answer 19

thanks!

Answer 20

you seem to get this! laughing out loud

Answer 21

good job

Answer 22

your participation is greatly appreciated

Answer 23

aww thank you for helping me :)

Answer 24

you helped yourself more than I helped you