Question

A list of 5 steps Cecile used to factor 16 x squared minus 9. 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.

Answer 1

Answer:

D: Yes, Cecile factored the polynomial correctly.

Step-by-step explanation:

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Answer 2

The Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.

What is factor of polynomial?

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial expression is,

$f(x)=16x^6-9$

Now, Cecile add 0x as,

$f(x)=16x^6+0x-9$

Now, here the product of 16 and 9 is 144. Therefore, the factors must have the product of 144 and sum of 0. Thus, by using the split the factor method as,

$f(x)=16x^6+12x-12x-9\\f(x)=4x^3(4x^3+3)+(-3)(4x^3+3)\\f(x)=(4x^3+3)(4x^3-3)$

Thus, the Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.

Learn more about factor of polynomial here;

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