Answer:
(x - 3) is a factor of P(x)
Step-by-step explanation:
if (x - 3) is a factor of P(x) then P(3) = 0
P(3) = 2(3)³ + 5(3)² - 28(3) - 15
= 2(27) + 5(9) - 84 - 15
= 54 + 45 - 99
= 99 - 99
= 0
since P(3) = 0 then (x - 3) is a factor of P(x)
Answer:
Width=28 1/3 Length=51 2/3
Step-by-step explanation:
1. Create an equation
x+(2x-5)=80
2. Solve
x+(2x-5)=80
3x-5=80
3x-5+5=80+5
3x/3=85/3
x=28 1/3
So, if x=28 1/3
85/3x2=170/3
56 2/3-5
So, Length=51 2/3
It should be 0 because the only factor changing is the x value
Answer:
Option C
Step-by-step explanation:
The first number is - 3, then we have a blank and the third number is - 1 1/8
In order for the numbers to be arranged from least to greatest, the number in the center should be greater than -3, and lesser than -1 1/8
Note that for negative numbers, the larger the constant, the smaller the number. i.e. -5 is smaller than -4.
So from the given options, the only number that is greater than -3 and lesser than -1 1/8 is - 2 1/4
So, option C gives us the correct answer to have the numbers ordered from least to greatest.
