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17 votes
17 votes
How to solve this (2x³+11x³+11x-4)cm³ by its height (x+4)cm. what is the area ?​

User Lamba
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1 Answer

18 votes
18 votes

Answer:

Given

V = 2x³-11x²+13x-4 cm³

A = (x-4)

H = ?

We all know that the formula in finding the volume of a rectangular prism is

And to determine the area of a rectangle is

Therefore to put into conclusion

We are finding the height of the rectangular prism, so we have to transpose the variable of height to the left.

Put the variables in the formula

In this case, we can able to use the Synthetic Division Method, but it doesn't apply for all equations.

The divisor must have a constant of only one, nothing else

The exponent of the linear term of the divisor is only one, nothing else.

SOLUTION USING SYNTHETIC DIVISION IS IN THE PHOTO

The height of the rectangular prism is

User Ahmed Tounsi
by
3.2k points
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