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.

answer: idk

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .