Use the Factor Theorem to Determine If the Given Binomial $$f ( x ) = x ^ { 3 } + 343$$

question 189

Multiple Choice

Use the factor theorem to determine if the given binomial is a factor of f (x) .
- $$f ( x ) = x ^ { 3 } + 343$$
a. $x - 7$
b. $x + 7$

• A) a. \(\mathrm { No }\)
• b. Yes
• B) a. \(\mathrm { Yes }\)
• b. No
• C) a. \(Y e s\)
• b. Yes
• D) a. \(\mathrm { No }\)
• b. \(\mathrm { No }\)

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Definitions:

Greatest Common Monomial Factor

The highest monomial that exactly divides each term of a given polynomial without leaving a remainder.

Polynomial

An algebraic expression consisting of variables and coefficients, combined only by addition, subtraction, multiplication, and non-negative integer exponents.

Greatest Common Factor

The highest number that divides exactly into two or more numbers without leaving a remainder.

Missing Factor

A value that, when multiplied with others, gives a specified result; often used in solving algebraic equations.