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David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below. GFC of 80, 32, and 48: 16 GCF of b4, b2, and b4: b2 GCF of c3 and c: c GCF of the polynomial: 16b2c Rewrite as a product of the GCF: 16b2c(5b2) – 16b2c(2c2) + 16b2c(3b2) Factor out GCF: 16b2c(5b2 – 2c2 + 3b2) Which statements are true about David’s work? Check all that apply.

Respuesta :

Answer:

a,c,e

Step-by-step explanation:

The GCF Greatest Common Factor, are the largest factors of the terms

of the polynomial, which can be found from by evaluating the polynomial.

Response:

The true statements are;

  • GCF of 80, 32 and 48: 16
  • GCF of b⁴, b², and b⁴: b²
  • GCF of c³, and c: c

How are the GCF of a polynomial found?

The given polynomial is; 80·b⁴ - 32·b²·c³ + 48·b⁴·c

The GCF of 80, 32 and 48 = 16

The GCF of b⁴, b², and b⁴: b²

The GCF of c³, and c: c

GCF of the polynomial: 16·b²

Rewrite as a product of the GCF: 16·b²·(5·b² - 2·c·(c² + 3·b²))

Therefore;

The statements which are true are;

  • GCF of 80, 32 and 48: 16
  • GCF of b⁴, b², and b⁴: b²
  • GCF of c³, and c: c

Learn more about GCF here:

https://brainly.com/question/363238

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