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.

5 Consider the following polynomial function gx 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 t class=

Respuesta :

Answer:

w = 1

Step-by-step explanation:

y = [tex]x^{4}[/tex] + 4w²x³ - 11wx² - 30wx

if x = 3 , then y = 0

[tex]3^{4}[/tex] + 4w²( 3 )³ - 11w( 3 )² - 30w( 3 ) = 0

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

(1) ÷ 9

12w² - 21w + 9 = 0 ⇒ [tex]w_{1}[/tex] = 1 and [tex]w_{2}[/tex] = [tex]\frac{3}{4}[/tex]

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

w = 1