Completely factored form of Wen's polynomial is (6x² + 7) (x-2).
What is a polynomial?
An algebraic expression called a polynomial includes coefficients and variables. Indeterminates are another name for variables. For a polynomial expression, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents, but division by variable is not possible. Although a polynomial can have multiple number of terms, it can't be infinite.
Factorizing the polynomial
Complete factorization of a polynomial results in products-of-sums
Given polynomial is,
6x³ - 12x² + 7x - 14
This polynomial can be factorized as follows,
6x² (x - 2) + 7(x - 2)
Now, we can factor out the common term (x-2) form each term on either side of the plus operator. thus, we get the following factors,
(6x² + 7) (x-2)
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Step-by-step explanation:
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Answer: Letter Choice ( B): -x^2 - 4x + 7
Step-by-step explanation:
( 4x^2 - 7x + 9 ) - ( 5x^2 - 3x + 2 )
Remove Parentheses: (a) = a
4x^2 - 7x + 9 - ( 5x^2 - 3x + 2 )
- ( 5x^2 - 3x + 2 ): - 5x^2 + 3x - 2
Simplify:
4x^2 - 7x + 9 - 5x^2 + 3x - 2
Answer:
Letter Choice ( B ):
-X^2 - 4x + 7
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