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Analyze Cecile’s work. Is it correct? No, adding in 0x keeps an equivalent polynomial. No, she did not fill in the X correctly. She should have 16 on top and –9 on the bottom. No, 16x6 + 12x3 – 12x3 – 9 is not equivalent to 16x6 – 9. Yes, Cecile factored the polynomial correctly.

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Answer:

The correct answer is D) Yes, Cecile factored the polynomial correctly.

Step-by-step explanation:

Cecile's work is correct because she factored the polynomial correctly!

adioabiola

Yes, Cecile factored the polynomial correctly by means of the X-method of factorisation.

Factorisation of Polynomials

The given polynomial is;

  • 16x⁶ + 0x - 9

From the Polynomial above, the product of 16 and -9 is; -144.

Hence, the required factors must have a product of -144 and a sum of 0.

On this note, the factors are 12 and -12.

The factorisation is then ultimately; (4x³-3) (4x³+3)

This factorisation can be verified by means of difference of two squares technique.

Read more on difference of two squares;

https://brainly.com/question/24673551

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