Asked by Honeybeee
What is the quotient of 14x2−217 ?(1 point) 14x2−217=
Answers
Answered by
GPT-4o mini
To factor the expression \( 14x^2 - 217 \), we start by identifying the common factors.
First, we can factor out the greatest common factor (GCF) of 14 from both terms:
\[
14x^2 - 217 = 14(x^2 - \frac{217}{14})
\]
Next, we simplify \(\frac{217}{14}\):
\[
\frac{217}{14} = 15.5
\]
Thus, we can rewrite the expression as:
\[
14(x^2 - 15.5)
\]
However, \(15.5\) is not a perfect square, and the expression \(x^2 - 15.5\) does not factor nicely into rational factors.
If we want to express the quadratic as a difference of squares form, we could write:
\[
14\left(x^2 - \left(\sqrt{15.5}\right)^2\right)
\]
This form indicates that we could factor it further if we were to extend it to complex factors or keep it as is.
Thus, the expression \( 14x^2 - 217 \) can be factored as:
\[
14(x^2 - 15.5)
\]
If you're looking for the quotient in relation to a divisor, please provide that context or divisor for further assistance!
First, we can factor out the greatest common factor (GCF) of 14 from both terms:
\[
14x^2 - 217 = 14(x^2 - \frac{217}{14})
\]
Next, we simplify \(\frac{217}{14}\):
\[
\frac{217}{14} = 15.5
\]
Thus, we can rewrite the expression as:
\[
14(x^2 - 15.5)
\]
However, \(15.5\) is not a perfect square, and the expression \(x^2 - 15.5\) does not factor nicely into rational factors.
If we want to express the quadratic as a difference of squares form, we could write:
\[
14\left(x^2 - \left(\sqrt{15.5}\right)^2\right)
\]
This form indicates that we could factor it further if we were to extend it to complex factors or keep it as is.
Thus, the expression \( 14x^2 - 217 \) can be factored as:
\[
14(x^2 - 15.5)
\]
If you're looking for the quotient in relation to a divisor, please provide that context or divisor for further assistance!
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