Transcript Polynomials Notes

Polynomial Expressions
Polynomials
• Monomial: 3xy
• Binomial: 2x + 7
• Trinomial: 𝑥 2 + 4𝑥 − 9
Addition
2
(3x
+ 4x - 7) +
2
(5x
- 2x + 4)
Addition
(5x4 + 3x3 - 9x2 - 2x) + (-35x3 + 3x2 - 5)
Subtraction
2
(6x
+ 4x - 7) -
2
(2x
- 2x + 4)
Subtraction
2
(x
+ 2x - 7) -
2
(3x
+ 4)
Multiplication
(p + 3q)(-2p + 5q)
Multiplication
(x + 4)(3x + 5)
Multiplication
(2x + 7)(2x – 7)
Multiplication
(3x + 4)(x2 - 2x + 5)
Multiplication
(2x + 11)2
Simplify
2𝑥 2 − 5𝑥 + 7 + 3𝑥 2 + 𝑥 − 8 − (4𝑥 + 9)(2𝑥 − 1)
A polynomial expression is shown below.
(14x5 + 7x3 + x) - (x + 26)(2nx2 + 1)
The expression is simplified to
14x5 - 13x3 - 520x2 - 26.
What is the value of n?
A polynomial expression is shown below.
ex(4x3 + 8x2 - 12) - (x2 + 4)(x2 + 6)
The expression is simplified to
31x4 + 64x3 - 10x2 - 96x - 24.
What is the value of e?
A polynomial expression is shown below.
(10x5 - 25x4) - (sx3 - 8)(2x2 - 5x + 3)
The expression is simplified to
-15x3 + 16x2 - 40x + 24.
What is the value of s?