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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.

Analyze Ceciles 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 class=

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facundo3141592

Answer: Yes, Cecile factored the polynomial correctly.

Step-by-step explanation:

She did factored the polynomial correctly, let's prove it:

The initial polinomial is 16x^6 - 9

and she has:

(4x^3 + 3)*(4x^3 - 3)

lets dstribute this:

4x^3*4x^3 + 4x^3*(-3) + 4x^3*(3) + 3*(-3)

16*x^(3 + 3) - 12x^3 + 12x^3 - 9

16x^6 - 9

So Cecile is correct.

onyebuchinnaji

Yes, Cecile factored the polynomial correctly because 16x³ + 12x³ - 12x³ - 9  = 16x⁶ - 9.

Polynomial equation

The given polynomial equation can be factorized as follows;

16x⁶ - 9

Apply difference of two squares

16x⁶ - 9 = (4x³)² - 3²

 (4x³)² - 3² = (4x³ + 3)(4x³ - 3)

distribute the factors

4x³(4x³ + 3) - 3(4x³ + 3)

open the brackets

16x³ + 12x³ - 12x³ - 9

Thus, we can conclude that Cecile factored the polynomial correctly because 16x³ + 12x³ - 12x³ - 9  = 16x⁶ - 9.

Learn more about polynomial expansion here: https://brainly.com/question/20526305

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