Polynomials
Adding/Subtracting Polynomials
Multiplying Polynomials
Special Products
Miscellaneous
100
Write in standard notation and give the leading coefficient:
n+3+3n2
3n2+n+3 leading coefficient = 3
100
Add:
(10m3 + 4m2) + (7m2 + 3m)
What is 10m3 + 11m2 + 3m?
100
Multiply.
2h3 (5h5)
What is 10h8?
100
Multiply.
(d+9)2
What is d2 + 18d + 81?
100
Simplify.
What is 9z8 / y8 ?
200
Classify the polynomial according to its degree & number of terms:
x2+12-x
What is a quadratic trinomial?
200
Add:
(3t2 - 2t) + (9t2 + 4t - 6)
What is 12t2 + 2t - 6?
200
Multiply.
(3k + 5)2
What is (9k2 + 30k +25)?
200
Multiply.
(m - 4)2
What is m2 - 8m + 16?
200
The length of a rectangle is 6cm greater than its width. Write a polynomial for the area of the rectangle.
What is the area if the rectangle's width is 5cm?
What is w2 + 6w & 55cm2?
300
The function C(x)= x3-15x+14 gives the cost to manufacture x units of a product. What is the cost to manufacture 900 units?
What is $728,986,514?
300
Subtract:
(7n2 - 3n) - (5n2 + 5n)
What is 2n2 - 8n?
300
Multiply.
2ab(5a3 + 3a2b)
What is (10a4b + 6a3b2)?
300
Multiply:
(5r + 6) (5r - 6)
What is 25r2 - 36?
300
Find the value of x that makes the statement true.
3(sqrt(41x)) = 6(sqrt(41))
x = 4
400
Write in standard form & give the leading coefficient:
-3a2+16+a7+a
What is:
a7- 3a2 +a+16; 1?
400
Subtract:
(b2 - 10) - (-5b3 + 4b)
What is 5b3 + b2 - 4b - 10?
400
Write a simplified polynomial expression for the area of a parallelogram whose base is (x+7) units and whose height is (x-3) units.
What is (x2 + 4x - 21) square units?
400
Multiply.
(3w - 1)2
What is 9w2 - 6w + 1?
400
Solve for x. Write an inequality statement.
2(abs(x))+ 4 >18
What is x < -7 OR x > 7 ?
500
Classify according to its degree and number of terms:
-2x3-5+x-2x7
What is a 7th degree polynomial with 4 terms?
500
Simplify:
(12d6 - 3d2) + (2d4 + 1) - (3d6 +6d4 - 4)
What is (9d6 - 4d4 - 3d2 +5)?
500
Multiply.
-3ab(ab - 2a2b + 5a)
What is:
(-3a2b2 + 6a3b2 -15a2b)?
500
A child's basketball has a radius of (x - 5) inches. Write a polynomial that represents the surface area of the basketball. (The formula for the surface area of a sphere is S = 4(pi)r2 where r represents the radius of the sphere). Leave the symbol for pi in your answer.
What is 4(pi)x2 - 40(pi)x + 100(pi) in2 ?
500
Solve the compound inequality:
-2≤m+3<13
What is -5 ≤ m < 10?