PLZ HELP, AM BEING TIMED
1 answer:
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Answer:
- quotient: 10x +16
- remainder: 28x^2 +10x +22
Step-by-step explanation:
The attachment shows the steps.
quotient: 10x +16
remainder: 28x^2 +10x +22
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Polynomial long division is easier than numerical long division because you only need to examine the first terms to determine the quotient term.
The first quotient term is 10x^4/x^3 = 10x.
The second quotient term is 16x^3/x^3 = 16.
When the leading dividend term is lower degree than the divisor, that dividend is the remainder.
1) From the picture, we see that we have two vertical angles:
2) Now, because of the<em> "Vertical Angles Postulate"</em> from geometry, we know that angles A and B are equal, so equalling the angles and replacing by their expression from above, we get the following equation in terms of x:
3) We must solve the last equation for x, doing that we find:
Steps to solve the equation
0) We have the equation:
1) We want all the terms with x on one side, and the other on the other one. So we pass the term +3x to the right as -3x:
2) Now we pass the term -10 to the left as +10:
3) We sum the terms on each side:
4) We pass the 3 that multiplies the x on the right, dividing the 60 on the left:
5) Finally we make the division and we get:
Answer
x = 20