Well you are given the roots.
if we have 3 it would.have to be x^3. So something like:
y = ax^3 + bx^2 + cx + d
this could.also be written:
y = (x + a) (x + b) (x + c)
when you are able to write it like this, we know that the opposite of a, b, and c are roots. this is because if we can make any of the insides of the 3 parenthesis equal 0 then y = 0 and that x.is a root. Well if we know the 3 roots that x will be then we just have to figure out the a, b, and c. So let's plug our roots in.
y = (-1 + a) (-5 + b) (-3 + c)
now we have to make each parenthesis equal 0 to find what a, b, and c should be. It is obvious a = 1 to make.that one zero and b = 5 and c = 3. So we know a, b, and c. now let's plug.those into our first equation.
y = (x + 1) (x + 5) (x + 3)
this is your equation. You can multiply out if necessary
Answer:
width: 5.5 yd; length: 8 yd
Step-by-step explanation:
Let w represent the width of the rectangle in yards. Then 2w-3 is the length and the area is the product of length and width:
w(2w-3) = 44
2w^2 -3w -44 = 0 . . . . put the equation into standard form
(w+4)(2w -11) = 0 . . . . . factor the equation
w = -4 or 11/2 . . . . . . . . the negative solution is extraneous
Then the length is 2·(11/2) -3 = 8.
The width of the rectangle is 5.5 yards; the length is 8 yards.
Answer:
6x^4-12x^3+8x^2-8x-16
Step-by-step explanation:
Answer:
A) x + 0
Step-by-step explanation:
In triangle ABC, the coordinates are: A(1, -1), B(1, -5) and C(4, -5)
In triangle A'B'C', the coordinates are: A(1, -5), B(1, 1) and C(4, 1)
Look at the x-coordinates in both the triangles remains the same because the triangles are reflected over x-axis, therefore, only the y-coordinate changes.
Therefore, the rule for x-coordinates = x + 0
Answer: A) x + 0
Hope this will helpful.
Thank you.
Answer:
The sum of four consecutive integers if the first integer is x
x + x+y+x+2 y + x+3 y = 4 x + 6 y
Step-by-step explanation:
<u>Explanation</u>:-
Let x, y are two integers are in Arithmetic progression
In Arithmetic progression the four consecutive integers are starting integer 'x'
x , x+y , x+2 y , x+3 y
The sum of four consecutive integers if the first integer is x
