1.  Consider the polynomial 5x² y³ - 2xy + 7x³ y² -9xy⁵

a. what is the degree of this polynomial ?

b. arrange the polynomial in order of descending powers of y

2. for the polynomial function P(x)= x³ + 2x² - x +3, evaluate

a. P(3)

b. P(-2)

3. Simplify 5xy⁴ -6x⁴y + x⁴y⁴ +2xy⁴ - x⁴y by collecting like terms.

4. add 7a⁴ -2a³ +5a - 2 and 5a³ + 7a² -a +4

5. simplify ( 4xy² +2x²y² -7xy) - (-5xy -3x² y + 2x²y²)

 Solve the equations below and check 

 

25.  x²-4x=117 

26.  6x²-24=0

 27.  m(6m+11)=10 

28. 6m²=-5-13m

29. 15x²-8=14x

30. 8x³-21x=2x²

31. Given that f(x)= 3x²-18x+12, find all values of x such that f(x)= 12

32. Find the domain of the function f given by f(x)=x26x+93x

33. The base of a triangle is 5 cm greater than the height. The area of the triangle is 42 cm2 . Find the height and the base. Include a diagram.

34. One leg of a right triangle is 6 cm. The other sides have lengths that are consecutive even integers. Find the lengths of the other sides.

35. 35. A picture frame measures 40 cm by 30 cm and 704 cm² of picture shows. Find the width of the frame