Question

5. Consider the following polynomial function.

g(x) = x + 4w2y? - 11wx?
30wx
The following graph represents the function.
62
35
18
He
P12
6 7 8 9 10
-12
-18
-24
-30
-15
-
-54
Find the value of w.

Answer 1

w = 1

Explanation:

y =
`x^(4)` + 4w²x³ - 11wx² - 30wx

if x = 3 , then y = 0

`3^(4)` + 4w²( 3 )³ - 11w( 3 )² - 30w( 3 ) = 0

108 w² - 99 w - 90w + 81 = 0 ........ (1)

(1) ÷ 9

12w² - 21w + 9 = 0 ⇒
`w_(1)` = 1 and
`w_(2)` =
`(3)/(4)`

"1" the value for w that match the graph.

w = 1