Question

NEED ANSWER ASAPPP!!!

Answer 1

`3b^4(b+5-6b^3)`

Explanation:

The greatest common monomial factor is largest number that divides evenly each of the monomials of the polynomial. To find the greatest common factor of the numerical part, we are going to find the greatest number that divide each of the numbers of the polynomial. Notice that 3, 15, and 18 are divisible by 3, so 3 is the greatest common factor of them.

Now, to find the gratest common factor of the letters, we just need to find the common letter with the smallest exponent. b⁵, b⁴ and b⁷ are common letters and the smallest exponent is 4, so b⁴ is the common factor of them.

Putting it all together (the number and the letter) we get that the greatest common monomial factor is 3b⁴. Now we can use this information to factor our polynomial:

`3b^5+15b^4-18b^7=3b^4(b+5-6b^3)` or in descending order
`3b^4(-6b^3+b+5)`