A polynomial is defined as a collection of variables and constant terms combined by various mathematical operations. The exponents of the variables in a polynomials must be non-negative integers.

If you observe the given options, one of the option (option B) contains a negative exponent. Hence the expression in option B is not a polynomial.

5 0

4 years ago

Simplify to an expression of the form (a sin(θ)).<br> 2sin(/8)2cos(/8)

rjkz [21]

Answer:

Your expression equals $2 \sin(\frac{\pi}{4})$ assuming the problem was to simplify $2\sin(\frac{\pi}{8}) 2\cos(\frac{\pi}{8})$ to the form $a\sin(\theta)$ .

Step-by-step explanation:

$2\sin(\frac{\pi}{8}) 2\cos(\frac{\pi}{8})$

$2(2)\sin(\frac{\pi}{8})\cos(\frac{\pi}{8})$

Let's use the following identity: $2\sin(A)\cos(A)=\sin(2A)$

$2\sin(2 \cdot \frac{\pi}{8})$

$2 \sin(\frac{\pi}{4})$ which is comparable to the form $a\sin(\theta)$ .

$a=2$

$\theta=\frac{\pi}{4}$

5 0

3 years ago

According to the rational root theorem, which number is a potential root of

11Alexandr11 [23.1K]

Potential roots have the format

factors of the constant term
-------------------------------------
factors of the initial term

Here, 7/3 is the only possible root that has a 7 in the numerator and a factor of 9 in the denominator.

Verify that 7/3 is a root using synthetic division.

6 0

3 years ago