The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=1 and x=0, and a root of multiplici
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<h2>x= 0 and x= 1</h2>
Step-by-step explanation:
Given g(x) = x+2 and f(x) =
If f(x) = g(x)
⇔ = x+2
⇔
Only x= 1 and x=0 will be satisfy the above equation.
If x= 1, it gives and x=0 gives
⇔2=2 ⇔1=1
First notice that the triangle with sides 
and the triangle with sides 
are similar. This is true because the angle between sides 
in the smaller triangle is clearly 
, while the angle between sides 
in the larger triangle is clearly 
. So the triangles are similar with sides corresponding to 
, respectively.
Now both triangles are
, which means there's a convenient ratio between its sides. If the length of the shortest leg is 
, then the length of the longer leg is 
and the hypotenuse has length 
.
Since
is the shortest leg in the larger triangle, it follows that 
, so 
Now both triangles are
Since