Answer:
Part A: The student forgot to distribute the subtraction across the entire polynomial.
Part B: 8[tex]x^{2}[/tex]-6[tex]x^{2}[/tex]-7x+x-2-3 = 2[tex]x^{2}[/tex]-6x-5
Part C: The terms are 2[tex]x^{2}[/tex], -6x, and -5. The coefficient of [tex]x^{2}[/tex] is 2. The coefficient of x is -6.
Step-by-step 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[tex]x^{2}[/tex], 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.
