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 ^^