The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:
<h3>
How to write the polynomial?</h3>
A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:
Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.
Then this polynomial is equal to:
If you want to learn more about polynomials:
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Your statemtent is incomplete.
I found the samestatment with the complete words: <span>Simplify
completely quantity x squared minus 3 x minus 54 over quantity x
squared minus 18 x plus 81 times quantity x squared plus 12 x plus </span>36 over x plus 6
Given that your goal is to learn an be able to solve any similar problem, I can teach you assuming that what I found is exactly what you need.
x^2 - 3x - 54 x^2 + 12x + 36
------------------ x ---------------------
x^2 - 18x + 81 x + 6
factor x^2 - 3x - 54 => (x - 9)(x + 6)
factor x^2 - 18x + 81 => (x - 9)^2
factor x^2 + 12x + 36 = (x + 6)^2
Now replace the polynomials with the factors=>
(x - 9) (x + 6) (x + 6)^2 (x + 6)^2 x^2 + 12x + 36
------------------------------ = --------------- = --------------------
(x - 9)^2 (x + 6) (x - 9) x - 9
Answer:
BC×AD=K
CKD= 180-32-79= 2x +180- 5x
-> x = (-32-79) : (-3) =37
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