First of all, we need to put the first two numbers into fraction form:
{-3/1, 2/1, -4/3, 8/9, -16/27}
You can see there is a pattern to these numbers, and the pattern is that each number is multiplied by -2/3 to give the following number (-3*(-2/3) = 2; 2*(-2/3)=-4/3, and so on).
This means that this is a geometric sequence.
If x=-5 is a zero, then the first factor of the polynomial would be (x + 5 )
To find the other two factors we can divide the polynomial by the expression (x+5).
Using synthetic division, we have:
-5 I 4 15 -24 5 (Coefficients of the dividend)
I -20 25 -5 (Multiplying each coefficient by the results of the substraction and adding)
-----------------------------------------------------------------------------------
4 -5 1 0 (Coefficients of the quotient)
The result of the division is 4x^2 - 5x + 1. Factoring it, we have:
4x^2 - 4x -x + 1 (Separating -5x into -x and -4x)
4x (x - 1) - (x -1) (Factoring each pair of terms)
(x-1)(4x-1) (Factoring using the common factor)
So the answer would be:
(x + 5 )(x-1)(4x-1)
Answer:
c
Step-by-step explanation:
Answer:
x = anything as long as they're the same number
Step-by-step explanation: