Answer:
x(x - 4) = 12
x2 - 4x = 12
x2 - 4x - 12 = 0
(x - 6)(x + 2) = 0
x - 6 = 0
x = 6
If the length is 6, the width must be 2.
Step-by-step explanation:
We carry out long division:
First, we multiply 2x + 7 by x³ to obtain 2x⁴ + 7x³ and subtract this from the original to get the remainder:
14x³ + 35x² - 37x + 46
Now, we repeat this process and keep the numbers we multiply by and then add them in the end:
Multiply by 7x², remainder:
28x² - 37x + 46
Multiply by 14x, remainder:
-135x + 46
Multiply by -67.5, remainder:
326.5
The answer is x³ + 7x² + 14x - 67.5 with a remainder of 326.5
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