Question

1. Simplify and write in standard form. Then, classify the polynomial by degree and number of terms.

Answer 1

Answer:

The answer to your question is below

Step-by-step explanation:

                 (5x³ + 3x² - 7x + 10) - (3x³ - x²  + 4x - 1)

                 5x³ + 3x² - 7x + 10 - 3x³ + x² - 4x + 1

                 (5x³ - 3x³) + (3x² + x²) + (-7x - 4x) + (10 + 1)

                 2x³ + 4x² - 11x + 11

It is a polynomial because it has 4 terms

It is of third degree because the highest degree is 3.

Answer 2

Answer:

=2x^3+4x^2−11x+11 and since There are no like terms this is your standard form. And in polynomial by degree the answer is =11-11*x+4*x^2+2*x^2 and the leading terms or number of terms is 6x^2

Step-by-step explanation:

To simplify Click on the picture to get full view. Thought it would be easier to understand this way! And from the polynomial =11-11*x+4*x^2+2*x^2 we need to find the degree, leading coefficient, and leading term of f(x)=6x^2−11x+11. Which leads us too the number of terms which is 6x^2