9x2 - 21x + 4x4 - 9 by 2x - 3
1 answer:
9514 1404 393
Answer:
2x^3 +3x^2 +9x +3
Step-by-step explanation:
Polynomial long division works best with the polynomials written in standard form, with appropriate 0 terms added where necessary to account for all of the powers of the variable.
As shown in the "Hints," the quotient terms are the ratio of the leading dividend term and the leading divisor term. The product of the quotient term and divisor is subtracted from the dividend to get the new dividend at each step.
The result of your division is 2x^3 +3x^2 +9x +3.
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Answer:
14 and 16.
Step-by-step explanation:
We know that two consecutive even numbers is 30.
Let's let n be <em>any number</em>.
Then the first <em>even</em> number must be 2n.
This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.
Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.
We know that they sum to 30. So, we can write the following equation.
And we solve from there:
So, the value of n is 7.
Therefore, the first even number is 7(2)=14.
And the consecutive even number is 16.
Edit: Typo