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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 a cubic polynomial with a degree of 3.

Step-by-step explanation:

The given polynomial is:

[tex](3x^2 - x -7) -(5x^{2} - 4x -2)(x -2)[/tex]

We expand to get:

[tex](3x^2 - x -7) -((x (5x2 - 4x -2) - 2(5x2 - 4x -2))[/tex]

[tex](3x^2 - x -7) -(5 {x}^{3} - 4 {x}^{2} -2x - 10 {x}^{2} + 8x + 4)[/tex]

[tex](3x^2 - x -7) -(5 {x}^{3} - 14 {x}^{2} + 6x + 4)[/tex]

[tex]3x^2 - x -7 -5 {x}^{3} + 14 {x}^{2} - 6x - 4[/tex]

[tex]-5 {x}^{3} + 17 {x}^{2} - 7x - 11[/tex]

The polynomial simplifies to a cubic polynomial with a degree of 3.

Answer:

The the polynomial simplifies to expression that is a quadratic trinomial with a degree of 2.

Step-by-step explanation:

I have done this test on Plato/Edmentum. I can promise this answer is correct, I've gotten a 5/5.

Good luck ^^

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