Which polynomial is prime?
a. 7x^2 – 35x + 2x – 10
b. 9x^3 + 11x^2 + 3x – 33
c. 10x^3 – 15x^2 + 8x – 12
d. 12x^4 + 42x^2 + 4x^2 + 14

Step-by-step explanation:

A polynomial is prime if it can't be factored in polynomials of lower degree. Let's factorize:

A.

In this case we have 4 terms, so we can use Grouping:

Part a:

We're going to use Greatest common factor:

Part b:

In this part we also use greatest common factor:

Then,

This polynomial is not prime.

B.

This polynomial cannot be factorized then it's prime.

C.

In this polynomial we can use grouping too:

Part a:

Part b:

Then,

This polynomial isn't prime.

D.

First we're going to use Greatest common factor:

Now we're going to apply grouping on the terms inside of the parenthesis:

Part a:

Part b:

Then,

Remember that at the beginning we use Greatest common factor:

This polynomial isn't prime.

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.

a

b

d

step-by-step explanation: