Factor a Negative Number or a GCF with a Negative $- 2 x ^ { 5 } + x ^ { 8 }$

question 182

Multiple Choice

Factor a negative number or a GCF with a negative coefficient from the polynomial.
- $- 2 x ^ { 5 } + x ^ { 8 }$

• A) \(- x ^ { 5 } \left( 2 - x ^ { 3 } \right)\)
• B) \(- x ^ { 5 } \left( 2 + x ^ { 3 } \right)\)
• C) \(- 2 x ^ { 5 } \left( 1 + x ^ { 3 } \right)\)
• D) \(- 2 x ^ { 5 } \left( 1 - x ^ { 3 } \right)\)

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Definitions:

Decimal Notation

A way of expressing numbers that uses a decimal point to separate the whole part from the fractional part.

Expression

A combination of symbols and numbers that represent a mathematical operation or relation.

Difference

The result of subtracting one number from another, or the operation of subtraction itself.

Polynomials

Algebraic expressions that consist of variables and coefficients, combined using only addition, subtraction, multiplication, and non-negative integer exponents.