Hun Kim Tutorials

Clear and Concise Video Tutorials

BC Math 9 Operations with Polynomials

Visit this page directly at hunkim.com/9polynomials

Operations with polynomials with degree less than or equal to 2
Variables, degree, number of terms, and coefficients, including the constant term
$(x^2+2x-4)+(2x^2-3x-4)$
$(5x-7)-(2x+3)$
$2x(n+7)$
$(15k^2-10k)\div(5k)$
Using algebra tiles
$3x(x-4)=3x^2-12x$

$3a+5a$
Solution
$8a$
$x+2x$
Solution
$3x$
$5x-7x$
Solution
$-2x$
$3x^2-2x^2+x+9x$
Solution
$x^2+10x$
$2x(x-5)$
Solution
$2x^2-10x$
$(3x-2)-(5x+1)$
Solution
$-2x-3$
$-2(3x^2-5x+1)$
Solution
$-6x^2+10x-2$
$3x(2-3x+4x^2)$
Solution
$12x^3-9x^2+6x$
$(x^2+3x-2)-(2x^2-5x-7)$
Solution
$-x^2+8x+5$
$(15k^2-10k)\div5k$
Solution
$3k-2$
$\frac{4x^2}{2x}$
Solution
$2x$
$\frac{3}{4}x+\frac{x}{4}$
Solution
$x$
$\frac{x}{2}-\frac{x}{5}$
Solution
$\frac{3}{10}x$
$\frac{3x}{2}-\frac{x}{7}$
Solution
$\frac{19}{14}x$
$\frac{2t}{5}-3t$
Solution
$-\frac{13}{5}t$
$\frac{-15xy^3-10x^2y^2}{5xy^2}$
Solution
$-3y-2x$
$-\frac{4a^2b-8ab^3}{2ab}$
Solution
$-2a+4b^2$
$x^3-2x^2+3x-(x^3+x^2-5x)$
Solution
$-3x^2+8x$
$-2(2a^3+4a^2)+a-(3a^2-4a^3)$
Solution
$-11a^2+a$
$\frac{1}{2}(4x^2-8x+12)-\frac{2}{3}(6x^2+12x-3)$
Solution
$-2x^2-12x+8$
Complete the following algebra tile diagram:

Solution
$2x$
Complete the following algebra tile diagram:

Solution
$-4x+2$
The polynomial P(x)=6x^5+5x^4-3x^2+x^7+2
1. How many terms are in this polynomial?
  Solution
  $5$
2. What is the coefficient of the $x^5$ term?
  Solution
  $6$
3. Find the degree of this polynomial
  Solution
  $7$
4. Find the constant term
  Solution
  $2$
What is the degree of the following polynomial?
$5x^3y^2+3x-2$
Solution
$5$

Click here for the next BC Math 9 topic: Multi-step Equations
Click here to return to the BC Math 9 homepage