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lana66690 [7]
2 years ago
13

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 eq

uivalent 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.
Mathematics
2 answers:
mote1985 [20]2 years ago
7 0

Answer:

D: Yes, Cecile factored the polynomial correctly.

Step-by-step explanation:

edge 2022

suter [353]2 years ago
5 0

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

<h3>What is factor of polynomial?</h3>

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;

brainly.com/question/24380382

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