Answer:
(5x+1)(2x+1)(x+4)
Step-by-step explanation:
The factored from of a polynomial can be found from the zeros or x-intercepts of the graph.
The x-intercepts here are x= -1/5, x=-1/2 and x= -4. You can find the factors by finding the expression which solves for each value.
Since x = -1/5 then the factor is 5x+1.
Since x = -1/2 then the factor is 2x+1.
Since x = -4 then the factor is x+4.
So the factored form is (5x+1)(2x+1)(x+4).
[4 - (3c - 1)][6 - (3c - 1)]
[4 - 3c + 1][6 - 3c + 1]
[-3c + 4 + 1][-3c + 6 + 1]
[-3c + 5][-3c + 7]
-3c[-3c + 7] + 5[-3c + 7]
-3c[-3c] - 3c[7] + 5[-3c] + 5[7]
9c² - 21c - 15c + 35
9c² - 36c + 35
The vase of the triangle would be x because it is unknown and the height would be x+2 because it is 2 more units than the base the formula for the area of a triangle is (base)(height)% 2 =area so (x)(x+2)%2=12 so then you have 1/2x^2+x=12 at this point I would move the 12 to the other side by subtracting to get 1/2x^2+x-12=0 then I would multiply it all by 2 to get x^2 + 2x-24 from there I would factor to get (x+6)(x-4) and your answers would be x= -6 and 4 and because 6 is negative it would not work because distances are always positive so the base would equal 4