Using synthetic division, find (2x4 − 3x3 − 20x − 21) ÷ (x − 3).
1 answer:
The correct option for the synthetic division is A. 2x³ + 3x² + 9x + 7
<h3>How to solve the division?</h3>
Write down the first coefficient without changes and multiply the entry in the left part of the table by the last entry in the result.
Then, add the obtained result to the next coefficient of the dividend, and write the sum. All the coefficients are the coefficients of the quotient, and the last coefficient is the remainder.
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Answer:
Step-by-step explanation:
First, we need to find the common denominator
The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.
2 × 5 = 10
So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:
=
We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.
Do the same thing for the other one:
=
Finally, subtract the two fractions to find the difference between the two times:
=
The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.