Analyzing a Factorization of a Polynomial
Cecile used the X method to factor $16 x^6-9$.
- $16 x^6+0 x-9$
- X method:
- $16 x^6+12 x^3-12 x^3-9$
- $4 x^3\left(4 x^3+3\right)+(-3)\left(4 x^3+3\right)$
- $\left(4 x^3+3\right)\left(4 x^3-3\right)$
Analyze Cecile's work. Is it correct?
ANo, adding in $0 x$ keeps an equivalent polynomial.
BNo, she did not fill in the $X$ correctly. She should have 16 on top and -9 on the bottom.
CNo, $16 x^6+12 x^3-12 x^3-9$ is not equivalent to $16 x^6-9$.
DYes, Cecile factored the polynomial correctly.
Cecile used the X method to factor $16 x^6-9$.
Analyze Cecile's work. Is it correct?
ANo, adding in $0 x$ keeps an equivalent polynomial.
BNo, she did not fill in the $X$ correctly. She should have 16 on top and -9 on the bottom.
CNo, $16 x^6+12 x^3-12 x^3-9$ is not equivalent to $16 x^6-9$.
DYes, Cecile factored the polynomial correctly.