Question

Does anyone know how to do this ?

Answer 1

Part A: The student forgot to distribute the subtraction across the entire polynomial.

Part B: 8
`x^(2)`-6
`x^(2)`-7x+x-2-3 = 2
`x^(2)`-6x-5

Part C: The terms are 2
`x^(2)`, -6x, and -5. The coefficient of
`x^(2)` is 2. The coefficient of x is -6.

Explanation:

Part A: When subtracting polynomials you have to make sure the subtraction is distributed to every term in the second polynomial.

Part B: Distributing the subtraction across the entire term we see that we need to subtract 6
`x^(2)`, add x, and subtract 3. Then we just do the math and we get the answer.

Part C: Since they're asking for the simplified polynomial, they want the answer to the subtraction problem. The terms are separated by + and - signs and the coefficients are the numbers being multiplied against variables.