Answer:
29
Step-by-step explanation:
29
Answer:
no
Step-by-step explanation:
using the Factor theorem.
If (x + h) is a factor of f(x) then f(- h) = 0
for factor (x + 3) then evaluate P(- 3)
P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72
since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)
the solutions to the related equation are 0,2,3 .
<u>Step-by-step explanation:</u>
Here we have , function f(x) = x3 – 5x2 + 6x . Graph of this function is given below . We need to find What are the solutions to the related equation . Let's find out:
Solution of graph means the value of x at which the value of f(x) or function is zero . We can determine this by seeing the graph as at what value of x does the graph intersect or cut x-axis !
At x = 0 .
From the graph , at x=0 we have f(x) = 0 i.e.
⇒ 
⇒ 
⇒ 
At x = 2 .
From the graph , at x=2 we have f(x) = 0 i.e.
⇒ 
⇒ 
⇒ 
At x=3 .
From the graph , at x=3 we have f(x) = 0 i.e.
⇒ 
⇒ 
⇒ 
Therefore , the solutions to the related equation are 0,2,3 .