Basic
Polynomials
Polynomials
Write the following polynomial in standard form:
6x4 – 2x3 – x5 + 9
–x5 + 6x4 – 2x3 + 9
Find the sum:
(x + 5) + (3x + 9)
4x + 14
Find the difference:
(7x + 4) – (5x + 8)
2x – 4
Find the product:
(3x + 1)(2x + 3)
6x2 + 11x + 3
Find the product:
(x + 1)2
x2 + 2x + 1
Identify the degree of the following polynomial:
2x4 + 9x3 – 5x2 + 6
Degree = 4
Find the sum:
(3x2 + 4x) + (2x2 – 3x)
5x2 + x
Find the difference:
(6x2 + 4) – (3x2 + 5)
3x2 – 1
Find the product:
(2x – 5)(3x + 2)
6x2 – 11x – 10
Find the product:
(3x – 9)2
6x2 – 54x + 81
Classify the following polynomial by its number of terms:
4y5 + 6xy – 3x2
Three Terms = Trinomial
Find the sum:
(–4x2 + 2x – 3) + (5x2 – 4x + 8)
x2 – 2x + 5
Find the difference:
(2x – 4) – (8x – 4)
–6x
Find the product:
(2x – 4)(3x2 – 6x + 1)
6x3 – 24x2 + 26x – 4
Find the product:
(2x – 1)(2x + 1)
4x2 – 1
Find the degree of the following monomial:
m5np7
Degree = 13
Find the sum:
(8x2 – 4x + 3) + (7x2 + 2x – 11)
15x2 – 2x – 8
Find the difference:
(6x2 – 5x + 8) – (4x2 – 7x + 9)
2x2 + 2x – 1
Find the product:
(2x2 – 4x)(x2 + 5x – 2)
2x4 + 6x3 – 24x2 + 8x
Find the product:
(5x – 2)2
25x2 – 20x + 4
What does it mean to be like terms?
(Hint: 2 things!)
Same variables, same exponents
Find the sum:
(5x3 + 4x2 – 2x + 2) + (4x3 – 4x2 + 2x + 10)
9x3 + 12
Find the difference:
(6x3 + 4x2 – 4x + 5) – (4x3 – 5x2 + 10x – 10)
2x3 + 9x2 – 14x + 15
The length of your math classroom is (5x + 5) feet and the width of the classroom is (7x + 2) feet.
Find the area of the classroom?
35x2 + 45x + 10 feet
Find the product:
(16x – 20)(16x + 20)
256x2 – 400