Add/Subtract Polynomials
(x+5) + (3x+9)
4x+14
Divide the polynomials:
(x2-3x-40) / (x+5)
(x-8)
What is the leading term of:
3x5-4x4+2x2+1
3x5
Find the zeros of:
(x-1)(x+4)(x-3)
x = 1,-4,3
Factor the polynomials:
x3 + 7x2 + 10x
x(x+5)(x+2)
(6x2 +4) - (3x2 +5)
3x2 -1
Multiply the polynomial:
(3x2+7x-20)(x-4)
3x3 - 5x2 - 48x + 80
What is the end behavior of:
-x3 - x2 + 2x
Leading term: Negative, Odd
Left: Y goes to positive infinity
Right: Y goes to negative infinity
Find the zeros and multiplicity of:
(x-1)2(x+2)
Zero:1, Multiplicity:2
Zero:-2, Multiplicity:1
Factor the polynomial
x2-36
(x-6)(x+6)
(8x2 -4x + 3) + (7x2+2x-11)
15x2 - 2x - 8
Divide the polynomial
(2x3-3x2-18x-8) / (x-4)
2x2+5x+2
What is the leading term and end behavior of:
f(x) = -2x6 + 3x4 + x
Leading term: -2x6
End Behavior: Both negative infinity
Find the zeros, multiplicity, and degree of:
(x-1)(x+4)3(x+2)
Zero: 1, Multiplicity: 1
Zero: -4, Multiplicty: 3
Zero: -2, Multiplicity: 1
Degree: 5
Factor the polynomial
3x5 - 300x3
3x3(x-10)(x+10)
(6x2-5x+8) - (4x2-7x+9)
2x2 +2x -1
Multiply the polynomial:
2(x3+27)(x2+3)
2x5+6x3+54x2+162
What is the leading term and end behavior of:
f(x) = (x-1)2(x+4)
Leading term: x3
Left: Y goes to negative infinity
Right: Y goes to positive infinity
Find the zeros, multiplicity, and degree of:
(x+1)2(x2-4)
Zero: -1, Multiplicity: 2
Zero: -2, Multiplicity: 1
Zero: 2, Multiplicity: 1
Degree: 4
Factor the polynomial:
4x3+20x2+24x
4x(x+2)(x+3)
(5x3-4x2-2x+2 ) + 2(2x3-2x2+x+5)
9x3 + 12
Divide the polynomial:
(2x2+x-7) / (x-5)
2x + 11, R: 48
Find the leading term and end behavior of:
-2(x-3)3(x+1)2(x+5)
End behavior: Both to negative infinity
(x2-81)(x2+3x-10)(x-9)2
Zero: -9, Multiplicity: 3
Zero: -5 Multiplicity: 1
Zero: 2 Multiplicity: 1
Zero: 9 Multiplicity: 1
Degree: 6
Factor the polynomial
7x3-28x
7x(x-2)(x+2)