A(squared)+B(squared)=C(squared)
Answer:
81
Step-by-step explanation:
divide 1296 by 16 to get the answer
product means ___ x ____ = product
since 16 is one of the numbers and 1296 is the product, it looks like this 16x___=1296
Your answer would be the last option, (6x² - 5)(x² + 2).
This is because when you expand it, you get:
6x² × x² = 6x⁴
6x² × 2 = 12x²
-5 × x² = -5x²
-5 × 2 = -10
Which are all the correct terms.
I hope this helps!
It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.
The simplest polynomial with these characteristics would be
![f(x) = (x - (7 + i)) (x - (5 - i))](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20-%20%287%20%2B%20i%29%29%20%28x%20-%20%285%20-%20i%29%29)
but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with
![f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20-%20%287%20%2B%20i%29%29%20%28x%20-%20%287%20-%20i%29%29%20%28x%20-%20%285%20-%20i%29%29%20%28x%20-%20%285%20%2B%20i%29%29)
which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:
![f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%5E2%20-%20%287%5E2%20-%20i%5E2%29%29%20%28x%5E2%20-%20%285%5E2%20-%20i%5E2%29%29%20%3D%20%28x%5E2%20-%208%29%20%28x%5E2%20-%206%29%20%3D%20x%5E4%20-%2014x%5E2%20%2B%2048)
Answer:
No it isn't
As the variable "x" has root in it which means it isn't a whole number and for a expression to be a polynomial the variable must be whole no.
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>you</em><em>!</em>