Simplify x^2+2x+1 divided by x+1
1 answer:
The quotient is x+1.
<h3>What Long division method?</h3>Long division is a method for dividing one large multi digit number into another large multi digit number.
Given:
f(x)= x²+2x+1
g(x)= x+1
The steps to divide the polynomial is :
- Divide the leading term of the dividend by the leading term of the divisor: x²/x=x.
- Multiply it by the divisor: x(x+1)=x²+x.
- Subtract the dividend from the obtained result: (x²+2x+1)−(x²+x)=x+1.
- Divide the leading term of the obtained remainder by the leading term of the divisor: x/x=1.
- Multiply it by the divisor: 1(x+1)=x+1.
- Subtract the remainder from the obtained result: (x+1)−(x+1)
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Answer:
Graph of the inequality 3y-2x>-18 is given below.
Step-by-step explanation:
We are given the inequality, 3y-2x>-18
Now, using the 'Zero Test', which states that,
After substituting the point (0,0) in the inequality, if the result is true, then the solution region is towards the origin. If the result is false, then the solution region is away from the origin'.
So, after substituting (0,0) in 3y-2x>-18, we get,
3\times 0-2\times 0>-18
i.e. 0 > -18, which is true.
Thus, the solution region is towards the origin.
Hence, the graph of the inequality 3y-2x>-18 is given below.
