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OpenStudy (anonymous):
Write a simplified polynomial expression to represent the area of the rectangle below.
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OpenStudy (anonymous):
OpenStudy (anonymous):
@Hope_nicole please help
OpenStudy (anonymous):
what is the equation for area of a rectangle?
OpenStudy (anonymous):
l x w
(x+1) (x-1)
OpenStudy (anonymous):
so if its l*w, in the picture it gives you both length and width, so you just put those into the equation.
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OpenStudy (anonymous):
( x + 5) (2x + 4)
OpenStudy (anonymous):
How do I multiply that?
OpenStudy (anonymous):
yupp!
OpenStudy (anonymous):
How do I multiply that?
OpenStudy (espex):
FOIL the two factors and expand the polynomial.
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OpenStudy (anonymous):
(x + 5) (2x - 4)
F: x * 2x = 2^2
O: x * -4 = -4
I: 5 * x = 5
L: 5 * -4 = 20
OpenStudy (anonymous):
@Mertsj is this correct?
OpenStudy (espex):
Add the 'x' to the O and I terms and then combine like terms and you will have gotten it.
OpenStudy (anonymous):
How do I combine them to like terms?
OpenStudy (anonymous):
(x + 5) (2x - 4)
F: x * 2x = 2^2
O: x * -4 = -4x
I: 5 * x = 5x
L: 5 * -4 = 20
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OpenStudy (anonymous):
2^2 + 5x -4x + 20 ?
OpenStudy (espex):
\[2x^{2}-4x+10x-20\]Take your terms with a single 'x' and combine them.
OpenStudy (anonymous):
How did you get 10x?
OpenStudy (espex):
5*2x = 10x
OpenStudy (anonymous):
Sorry I am confused now where did you get the 2 to multiply with the 5?
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OpenStudy (espex):
\[(2x-4)(x+5)\]
F: \[2x * x = 2x^2\]
O: \[2x * 5 = 10x\]
I: \[-4 * x = -4x\]
L:\[-4 * 5 = -20\]
OpenStudy (mertsj):
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