Definitions
Given:
7x^5-14x^3+2x-9
What is the leading coefficient of the polynomial?
7
Solve:
y+y
2y
Solve:
2(3x-6y)
6x-12y
Solve:
(x+y)+3(4x+2y)
13x+7y
Given:
7x^5-14x^3+2x-9
What is the constant?
-9
Solve:
(5a-8b)+(4b-5a)
-4b
Solve:
-4(3x^2-5x+1)
-12x^2+20x-4
Solve:
2(3a+5b)-4(2a-2b)
-2a+18b
Given:
5x^4+13x-3x^7-21+2x^6+4x^3
Rearrange the above polynomial in standard form.
-3x^7+2x^6+5x^4+4x^3+13x-21
Solve:
(4x-7y+3z)+(x+6y-5z)
5x-y-2z
Solve:
x(x+9)
x^2+9x
Solve:
3(x^2-x+1)+x^2(x^2-4x+7)
x^4-4x^3+10x^2-3x+3
Given:
8x^4-x^2+3x^6+4-5x
What is the degree of the polynomial above?
6
Solve:
(a+4b)+(6b-6a)
** Write your answer in standard form
-5a+10b
Solve:
5x(2x^2-x+10)
10x^3-5x^2+50x
Solve:
x^3(3x^2-4x)-x(7x+8)
3x^5-4x^4-7x^2-8x
Write the polynomial in standard form given the following:
Leading coefficient = 3
Coefficients (in order) = 3, 1, -6
Degree = 3
Constant = -2
3x^3+x^2-6x-2
Solve:
(m+n-10)+(5n+3)+(-8n+2m)
** Write the polynomial in standard form
3m-2n-7
Solve:
2x^3(x^7-2x^4+3x^3-5)
2x^10-4x^7+6x^6-10x^3
Solve:
2x^2(4x^2+8x-12)-4x^3(3x-8)
-4x^4+48x^3-24x^2