Adding/Subtracting/Multiplying Polynomials

Adding Polynomials

100

(46c  +  32  –  6c²)  +  (15c + 24 - 19c²)

(–25c² + 61c + 56)

200

(9 – 22n + 49n²) +  (-38n – 32 + 8n²)

(57n² - 60n - 23)

300

(35 – 23c – 35p)  +  (46p – 17c)

(-40c - 11p +35)

400

(37k⁶ - 36k + 8m) + (45k⁶ - 4k + 16m)

(37k⁶ - 36k + 8m)

500

(35y + 9yz – 50) + (12yz + 27z)

(21yz + 35y +27z - 50)

Subtracting Polynomials

100

(–81w² – 36w – 45) - (13w + 49w² + 7)

(–130w² – 49w - 52)

200

(–99b² – 12b – 4) - (19b² + 29b)

(–118b² - 41b - 4)

300

(32 + 13p² – 34p) - (21p + 20 – 23p²)

(-11p² - 55p + 12)

400

(37k⁶ - 36k + 8m) - (45k⁶ - 4k + 16m)

(-8k⁶ - 32k - 8m)  

500

(22 – 51p + 79p²) - (52p – 15 + 97p²)

(-18p² – 103p + 37)  

Multiplying Polynomials

100

(5p² · 13p³ · 9p⁵)

(585p¹⁰)  

200

(7b³ · 4t³ · 18b⁴ · 12t⁵)

(6,048b⁷t⁸)  

300

5(92p + 41 – 73p²)

(365p² + 460p +205)  

400

(k · 23k · k · k · k · k)

(23k⁶)  

500

(4k⁴ · 2n⁵a³ · 4n⁴a³ · 8n²a⁴ · 3k⁴)

(768n¹¹a¹⁰k⁸)  

Polynomial Terms

100

What is a Constant in a Polynomial?

A Constant is when a number is on its own. Such as -3, or 20

200

What is a Variable in a Polynomial?

A Variable is a symbol that is used for a number we don't know yet. Such as an x or a y.

300

What is a Coefficient in a Polynomial?

A Coefficient is the number that is multiplied by the variable. Such as: 4x means 4 times x, so 4 is the coefficient

400

What is a Exponent in a Polynomial?

An Exponent is a number which says how many times the value is used in multiplication. For example; the 2 in x² means that the x should be multiplied by itself twice.

500

What is Standard Form when talking about a Polynomial?

The Standard Form for writing a polynomial is to put the terms with the highest degree first. For example, to put this (3x² − 7 + 4x³ + x⁶) in standard form you must put the highest degree  first, so that 6 goes first, then 3, 2 and then the constant last, like( x⁶ + 4x³ + 3x² − 7)