Step-by-step explanation:
3 x^3-15x^2+18x 3(x^3-5x^2+6x)
We have to determine the complete factored form of the given polynomial
.
Let x= -1 in the given polynomial.
So, 
So, by factor theorem
(x+1) is a factor of the given polynomial.
So, dividing the given polynomial by (x+1), we get quotient as 
.
So, 
= (x+1).
= 
=![(x+1)[ 2x(3x-5)-3(3x-5)]](https://tex.z-dn.net/?f=%28x%2B1%29%5B%202x%283x-5%29-3%283x-5%29%5D)
= 
is the completely factored form of the given polynomial.
Option D is the correct answer.
Answer:
- 11 or - 15
Step-by-step explanation:
Factorise
x² - 13x + 42
Consider the factors of the constant term (+ 42) which sum to give the coefficient of the x- term (- 13)
The factors are - 6 and - 7, since
- 6 × - 7 = + 42 and - 6 - 7 = - 13, thus
x² - 13x + 42 = (x - 6)(x - 7)
compare to (x + A)(x + B)
A = - 6, B = - 7
thus 3A - B = 3(- 6) - (- 7) = - 18 + 7 = - 11
The factors may also be expressed as (x - 7)(x - 6)
with A = - 7 and B = - 6, then
3A - B = 3(- 7) - (- 6) = - 21 + 6 = - 15
This is all about proportions. You can make this into fractions:
3/5 = 12/x
A good way to handle this, is to make one of those numbers the same. If you do (3/5) * 4, you would get 12/20 (because 4 * 3 = 12 and 4 * 5 = 20)
So then you have this:
12/20 = 12/x
It's basically a fill in the blank from there. x= 20
Elena's team played 20 games
Answer:
1.) the answer is the fourth one, 1/5^7
2.) the answer is the fourth one, 1/5^6
3.) the answer is the fourth one, (2^6)^-5
4.) this is seems to be a duplicate of the first one
Step-by-step explanation:
1.) by 'adding' 4 exponent values on the top it simplifies the top to simply one and 5^7 on the bottom
2.) since this is an exponent of an exponent multiply them, getting 5^-6, then simplify negative exponents.
3.) exponents of exponents are multiplied
