For the first three you need to find volume, so the formula for volume is b*w*h. base*width*hight. so multiply all three numbers together and you will find your answer.
124+124=248 360-248=112 112\2=56
Answer:
(x-2)(x-6)
Step-by-step explanation:
We look for two integers which multiply to +12 but add to -8 and we find those numbers by looking at the factors of 12={1,2,3,4,6,12}
We find that by picking 6 and 2,6×2=12 but 6+2 is not -8 so we tweak that as -6 and-2
By so doing, now -6×-2=12,-6+(-2)=-8
so we factor to get (x-2)(x-6)
Answer:
The answer best describes the zeros of the polynomial function f(x)=x^3+x^2−8x−8 is third option:
The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.
Step-by-step explanation:
Using Ruffini:
f(x)=x^3+x^2-8x-8
! 1 1 -8 -8
-1 !___ -1___0__8
1 0 -8 0
x^2 -8
f(x)=(x+1)(x^2-8)
Factoring the quadratic term x^2-8, using:
a^2-b^2=(a+b)(a-b)
with:
a^2=x^2→sqrt(a^2)=sqrt(x^2)→a=x
b^2=8→sqrt(b^2)=sqrt(8)→b=sqrt(4*2)→b=sqrt(4) sqrt(2)→b=2 sqrt(2)
x^2-8=(x+2 sqrt(2))(x-2 sqrt(2))
f(x)=(x+1)(x+2 sqrt(2))(x-2 sqrt(2))
Zeros of the polynomial are: x=-1, x=-2 sqrt(2), and x=2 sqrt(2)
The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.
