Question

What polynomial has a graph that passes through the given points?

(-2, 2) (-1, -1) (1, 5) (3, 67)
A. y = -x3 + 4x2 + 2x - 2

B. y = x3 + 4x2 + 2x - 2

C. y = x4 + 4x3 + 2x2 - 2x

D. y = x3 - 4x2 - 2x - 2

Answer 1

test them around
say test A) for the 1st point
y = -x^3 + 4x^2 + 2x - 2
using (-2, 2)
\(\bf (2) = -(-2)^3 + 4(-2)^2 + 2(-2) - 2\)

Answer 2

so you get 2 = 8+16-4-2 or
2 = 18

of courses 2 is not equals 18, so it's not A obviously

Answer 3

so check B

Answer 4

so try b and it would be (2)= (-2)2 +4(-2)2+ 2(-2) -2

Answer 5

which gives you 2 =-6?

Answer 6

I think

Answer 7

\(\bf y = x^3 + 4x^2 + 2x - 2 \\
(-2, 2)\\
(2) = (-2)^3 + 4(-2)^2 + 2(-2) - 2\)

Answer 8

-8 + 16 - 4 -2
2

Answer 9

-2 * -2 * -2

-2 * -2 = +4
+4 * -2 = -8

Answer 10

i got my signs mixed up.

Answer 11

\(\bf y = x^3 + 4x^2 + 2x - 2 \\
(-1, -1)\\
(-1) = (-1)^3 + 4(-1)^2 + 2(-1) - 2\)

Answer 12

2= -1

no dice on the 2nd point

Answer 13

so c

Answer 14

dunno let's test it

Answer 15

okay

Answer 16

\(\bf y = x^4 + 4x^3 + 2x^2 - 2x \\
(-2, 2)\\
(2) = (-2)^4 + 4(-2)^3 + 2(-2)^2 - 2(-2)\)

Answer 17

\[2= -2(4)+4(-2)(3)+ 2(-2) 2-2(-2)\]

Answer 18

okay let me solve real quick

Answer 19

2 = 16-32+8+4
2 = -4

no dice

Answer 20

i got the same. alright lets try d

Answer 21

so hehehe, by elimination there's only one candidate left hehe

When you have eliminated the impossible, whatever remains, however improbable, must be the truth.

~~ Sherlock Holmes, The Sign of Four Mistakes are always initial. ~

Answer 22

well i tried d and got 2=-6

Answer 23

\(\bf y = x^3 - 4x^2 - 2x - 2 \\
(-2, 2)\\
(2) = (-2)^3 - 4(-2)^2 - 2(-2) - 2\)

Answer 24

hmmm

Answer 25

i think it is b

Answer 26

i did the other numbers and i got it

Answer 27

hmmm lemme check B then, thus far the only one that gave a good one