WorksheetsSolving polynomials
Total questions: 15
Worksheet time: 2hrs 42mins
Solve x2 + x – 72 = 0.
x = -8
x = -8 or x = 9
x = 8 or x = -9
x = 9
Solve the equation by factoring:
n2+11n +30 = 0
x = -6, -5
x = 6, 5
x = 2, 15
x = -2, -15
Solve b2+25b=0
b= 0 and b = 25
b= 0 and b= -25
b= -5 and b= 5
b=5 an b=-2.5
Factor Completely:
2n3 + 7n2 - 2n - 7
cannot be factored
(n - 1)2(2n + 7)
(n2 - 1)(2n + 7)
(n + 1)(n - 1)(2n + 7)
2x3 + 5x2 - 8x - 20
What are the remaining factors for
(x3 +x2 -17x +15) if (x -1) is a factor?
(x-1) (x+5) (x-3)
(x-1) (x+5) (x + 3)
(x+1) (x+5) (x-3)
(x+1) (x-5) (x-3)
Write x3 + 9x2 + 18x in factored form
x(x + 6)(x + 3)
x(x + 9)(x + 2)
x(x + 6)
x(x - 6)(x - 3)
What is the GCF in 3x3 + 15x2 + 30x
3
3x
5
x
Is (x-1) a factor of f(x)= x3-8x2+14x-4?
Yes, (x-1) is a factor. There is a remainder.
No, (x-1) is not a factor. The remainder is zero.
Yes, (x-1) is a factor. The remainder is zero.
No, (x-1) is not a factor. There is a remainder.
What are the three factors for P(x) = (x3 +x2 -17x +15)?
(x-1) (x+5) (x-3)
(x-1) (x+5) (x + 3)
(x+1) (x+5) (x-3)
(x+1) (x-5) (x-3)
Decide if (x+3) is a factor of 3x3+10x2-x-12
Yes, it is a factor!
No, it is not a factor!
If 𝒙2+𝟑𝒙+𝟕 is divided by 𝒙-𝟐, then what is the remainder?
0
-3
17
5
Divide using long division
2x−72x4−7x3+14x2−55x+21
x3−7x2−3x
x3+7x−3
x3−7x2+7x−3
x3−7x+3
Is this division problem worked correctly? If not, where is the FIRST mistake made?
This is correct!
No, the first mistake is the solver forgot to subtract 2x.
No, the first mistake is the solver forgot to subtract -8.
No, the first mistake is x⋅x is not x2.
