Add, Subtract, Multiply
Equations
Division
Solving by factoring
Finding Zeroes
100
(4x^2−3x+5)+(x^2+7x−2)
5x^2+4x+3
100
x(x-1)^2(x+2)
100
(x2-3x-40)/ (x+5)
x-8
100
Factor and solve:
x3+7x2+10x =0
x(x+5)(x+2)
x= 0, -5, -2
100
list the possible roots of
15x^4-4x^2+10
+-(10,5,2,1)/(15,5,3,1)
200
(x^3−6x+10)−(2x^3+x^2−5)
−x^3−x^2−6x+15
200
-(x-1)^2(x+2)
200
(x3+3x2-x+2)/(x-1)
x^2+4x+3 + 5/(x-1)
200
Factor and solve:
9x3+6x2-3x=0
3x(3x-1)(x+1)
x=0, 1/3, -1
200
x^3+3x^2-x-3
-1, 1, -3
300
2x(3x^2−5x+4)
6x^3−10x^2+8x
300
Find the equation of the polynomial that has the zeroes 2 and 3i.
(x-2)(x-3i)(x+3i)
x^3-2x^2 + 9x-18
300
Divide the polynomial
(3x^2+7x-20) / (3x+4)
x+3-24/(3x+4)
300
factor and solve:
x^3 -5x^2-x+5=0
(x − 5)(x + 1)(x − 1)
x= 5, -1, 1
300
x^3-1
1, (-1+isqrt3)/2, (-1-isqrt3)/2
400
(x^2+2)(x^2−3x+1)
x^4−3x^3+3x^2−6x+2
400
Find the equation of the polynomial that has the zeroes 0, -3 and 1+i.
x(x+3)(x-1-i)(x-1+i)
x^4+x^3-4x^2+6x
400
Divide the polynomial
(3x^3+x^2-2x-3) / (x^2-x-1)
3x+4 + (5x+1)/(x^2-x-1)
400
"factor and solve:"
x^4-4x^2-45
(x^2+5)(x+3)(x-3)
x= isqrt(5), -isqrt(5), 3, -3
400
x^4+x^3-11x^2-5x+30
2,-3,+-sqrt5
500
(2x+5)^4
16x^4 + 160x^3 + 600x^2 + 1000x + 625
500
A fourth degree polynomial has the graph below.
What is the equation of the polynomial?
(x^2-5x+7)(x-1)^2
x^4-7x^3+18x^2-19x
500
Divide the polynomial
(x^3-3x^2+4x-10) / (x^2+4)
x-3 + 11/(x^2+4)
500
"factor and solve:"
x^9-x^6-x^3+1
(x-1)^2(x^2+x+1)^2(x+1)(x^2-x+1)
x= 1, -1, (1+isqrt(3))/2,(1-isqrt(3))/2,(-1+isqrt(3))/2, (-1-isqrt(3))/2
500
"given that 2+i is a root, find the other zeroes"
x^5 − 6x^4 + 11x^3 − x^2 − 14x + 5
2+-i,(3+-sqrt5)/2,-1