I think you're trying to say 6x^6-4x^5+9x-6. ^ Is a symbol that means the number after it is an exponent.
First step, find the gcf (greatest common factor) between the first two parts. The gcf of 6x^6-4x^5 is 2x^5.
Now take it out. You get
2x^5(3x-2)
If you expand that equation, you will get 6x^6-4x^5 which is why you know it's correct.
Now do the same for the second half.
The gcf for the second two parts is 3.
3(3x-2)
Notice anything? Yep, in both of them, after you take out the gcf, you get (3x-2)
Now, you combine them into one equation
2x^5(3x-2)+3(3x-2)
Then you do this
(2x^5+3)(3x-2)
That's your factored form.
Answer:
36 ft
Step-by-step explanation:
The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:

Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!
Yes, (x - 3) is a factor of the given polynomial.
If (x - 3) was a factor of the polynomial, then 3 would be one of the zeros of the function. That means if you input 3 into the function, you will get an output of zero.
In this case, inputting 3 does produce 0. Therefore, it is a factor.
Answer:
What's the purpose? ................