Pregunta
Algebra 2 L.4 Divide polynomials using long division YN5
Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
Ask by Mccoy Park. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The division of
by
results in
with no remainder.
Solución
Calculate or simplify the expression
.
Simplify the expression by following steps:
Simplify the expression by following steps:
- step0: Solution:
- step1: Remove the parentheses:
- step2: Factor the expression:
- step3: Reduce the fraction:
The result of dividing the polynomialby is .
Therefore, the quotient is
and there is no remainder.
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Bonus Knowledge
To divide the polynomial
by
using long division, you would start by dividing the leading term of the dividend by the leading term of the divisor.
-
Divide
by to get . -
Multiply
by to get . -
Subtract this from the original polynomial:
-
Next, divide
by to get . -
Multiply
by to get . -
Subtract again:
Since the result is zero, there is no remainder. Thus, the final answer is:
And if we were to have a remainder, remember to include it as a fraction over the divisor!
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