The factors of polynomial are (x-1) and (x+3)
Step-by-step explanation:
If (x+9) is a factor of P(x)= x³+11x²+15x-27 then the P(x) must be completely divisible by (x+9)
After finding the polynomial, we need to factorise the polynomial by utilising the quadratic equation.
All the process has been described in image attached-
S₁, S₂, S₃ represents various steps involved in solving the problem.
It is found that (x+9) is a factor of x³+11x²+15x-27
The polynomial found after dividing x³+11x²+15x-27 by (x+9) is x²+2x-3
Which can be further factorised by quadratic rule into the factors as (x-1) and (x+3)
Hence the factors are (x-1) and (x+3)
Answer:
42.5 Cubic Yards
Step-by-step explanation:
To find volume of a rectangle you do length*width*height to get the volume, so 17*15*0.5(because 6 inches is half of a foot) you get 127.5, but they're asking for it in yards not feet so you need to divide 127.5 by 3 and that will give you 42.5.
Answer:
3m - 5
Step-by-step explanation:
3(m - 3) + 4 Distribute the 3
3m - 9 + 4 Simplify
3m - 5
A = speed of one boy
<span>a + 3 = speed of 2nd boy </span>
<span>d = speed X time ... time is 3 hrs </span>
<span>68 = 3a + 3(a + 3) </span>
<span>6a = 59 </span>
<span>a = 59/6 = 9 5/6 miles per hour </span>
<span>a + 3 = 12 5/6 miles per hou</span>
((5x5)/2)x2=50 square ft
(8x5)x2= 80 square ft
8x7= 56 square ft
50+80+56=186 square ft
D) 186 square ft
