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Simplify the following polynomial expression.
(3x^2 - x -7) -(5x2 - 4x -2)(x -2)
The the polynomial simplifies to expression that is a blank blank with a degree of blank
1. Linear? . Quadratic?. Constant?.
2. Trinomial?. Binomial?. Monomial.?
3. 0?. 2?. 1?.

Answer :

Answer:

The polynomial simplifies to an expression that is a  

quadratic  trinomial  with a degree of  2 .

Step-by-step explanation:

trial and error

The resultant polynomial after the operations is a Trinomial.

Data Given;

  • [tex]3x^2-x-7[/tex]
  • [tex]5x^2-4x-2[/tex]
  • [tex]x-2[/tex]

To solve this question, let's apply BODMAS and multiply first before subtracting.

Multiplication of Polynomials

This is done when two polynomials combine together and often results to a polynomial of a higher degree.

[tex](5x^2-4x-2)(x-2) = 5x^3-4x^2-2x+5x^2-8x+4=5x^3+x^2-10x+4[/tex]

The resultant effect is a new polynomial with a higher degree.

Subtraction of Polynomials

This operation is carried out to subtract one polynomial from another.

[tex](3x^2-x-7)-(5x^3+x^2-10x+4) = -5x^3 +2x^2 -11x -11[/tex]

The resultant polynomial is a trinomial i.e The variable have a degree of 3.

Learn more on polynomials here;

https://brainly.com/question/4142886

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