Real Rational Roots
Write the following polynomial in factored form
x^2+5x+4
(x+1)(x+4)
Factor
f(x)=x^3-x^2+x-1
given that x=-i is a root
(x-1)(x^2+1)
Find all the zeros of
x^3-x^2+x-1
x=1,+-i
Write an equation in factored form given the following roots.
x=-2, 3, 5
f(x)=(x+2)(x-3)(x-5)
Which US city is known for having the largest Halloween festival in the world?
Salem MA
Write the following in factored form
x^3-6x^2+11x-6
(x-1)(x-2)(x-3)
Find the zeros
g(x)=x^3+2x^2+4x+8
x=-2,-2i,2i
Find all the zeros of
x^3+2x^2-3x-6
x=-2, +-sqrt3
Write an equation in factored form given the following zeros.
x= 0, 7, 3i
g(x)=x(x-7)(x^2+9)
What was the best selling candy for Halloween in 2024?
Reese's Peanut Butter Cups
Find the zeros of the following function
x^3-4x^2-11x+30
x=-3,2,5
Factor
h(x)=x^3-3x^2+9x-27
given that
x-3i
is a factor
(x-3)(x^2+9)
Find the zeros of
x^5+x^4-13x^3-13x^2+42x+42
x=-1, +-sqrt6,+-sqrt7
Write an equation in expanded form given the following roots
x= -7, 0, -2i
f(x)=x^4+7x^3+4x^2+28x
What did people carve before pumpkins during Halloween?
Turnips(beets and potatoes also acceptable answers)
Write the following polynomial in factored form.
x^4-2x^3-9x^2+2x+8
(x+2)(x+1)(x-1)(x-4)
Find all zeros for
y=x^3-4x^2+8x-8
given that
x=1+2i
is a root
x=2, 1+-2i
Find all the zeros
x^3-3x^2+5x-3
x=1, 1+-isqrt2
Write an equation in factored form given the followning roots.
x=-4 ("multiplicity " 3), sqrt8, 1+-3i
(x+4)^3(x^2-8)(x^2-2x+10)
According to Google searches which costume is set to be the most popular among children this year?
Rumi from K pop Demon Hunters
Write the following polynomials in factored form
x^3-6x^2+12x-8
(x-2)^3
Factor
j(x)=x^5-2x^4+2x^3-4x^2+x-2
x=2, +-i
both imaginary roots with a multiplicity of 2
Find all the zeros of
x^3-2x^2-5x-2
x=-1,(3+-sqrt17)/2
Write an equation in expanded form given the following zeros.
x=5i, 6, sqrt2
x^5-6x^4+23x^3-138x^2-50x+300
What is the weight of th heaviest pumpkin according to Guinness World Records?
+- 50 lbs
2,749 pounds