Download Polynomials Standard form is writing the polynomial from the highest

Polynomials
Standard form is writing the polynomial from the highest exponent to the lowest exponent.
Degree of the polynomial is the highest exponent from all terms
a) Write each polynomial in standard form:
b) Give the degree of each polynomial
c) Identify the type of polynomial
1. x + x2
2. 3n2 + 6 - 5n
3. 5a + 7a4 - 6a2
4. 6x + 8x3 - 2x2
Adding and Subtracting Polynomials
Add only like terms which have the same letter and exponent
Rewrite all like terms under each other
Change all the signs in parentheses after a subtraction sign only
5. 2y + (4y - 3)
6. 3k + (2k + 4)
7. 9m + (-2m - 7)
8. (2x2 - 1) + (3x2 + 7)
9. (5a2 + 3) + (-7a2 - 4)
10. (2y - 3) + (4y + 5)
11. Find the perimeter of triangle ABC.
12. Find the perimeter of quadrilateral ABCD.
Find each sum or difference and write your answer in standard form:
13. (3x2 - 4) + (5x2 + 8)
14. (5x3 + 6x2) + (x3 - 12x)
15. (5x2 + 4x + 8) - (3x2 + x + 3)
16. (8x2 - 4x + 1) - (3x2 + 6x - 4)
Multiplication
1st Multiply the coefficients
2nd Add the exponents of the different letters
Simplify each expression:
17. (3ab)(5a2b)
18. r2(3rs5)
19. (-2pq)(-p2q)
20. (-2xz)(4x2y)
21. x(xy)(x2y)
22. (2r)(3st)(rst)
23. 2x3(-3xy2)(-x3y4)
24. wz2(-w3yz)(yz2)
25. -3(f2 - 2f - 8)
26. 4p(p2 - 3p - 2)
27. –r(r3 - 9r + 6)
28. a(4 - a -5a2)
29. 2x(2x3 - 4x + 3)
30. 4a2(-a2 - 3a + 9)
Division
1st Divide the coefficients
2nd Subtract the exponents of the different letters (cancel common factors)
Divide:
31. -6xy
2y
32.
33.
34.
35.
36.
37.
38.