Polynomials: The X-Factor: or, Factoring with X's Quiz
Think you’ve got your head wrapped around Polynomials? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Which of the following is not a polynomial equation?
5x^{3} - 7x + 9 = 3x^{4} + 2x + 7
3x^{2} + 8 = 0
4x^{8}-6x^{-1} = 0
11x(4x - 17) = 0
2x^{7} + x - 4 = 0
Q. The polynomial (abc)^{2} - 100b^{4} factors completely as
(abc + 10b^{2})^{2}
(abc - 10b^{2})(abc + 10b^{2})
(abc - 10b^{2})^{2}
b^{2}(ac - 10b)(ac + 10b)
abc - 10b^{2}
Q. Factor the polynomial -6x^{2} + 53x - 40.
(-3x + 20)(2x - 2)
(3x - 4)(-2x + 10)
(-6x + 5)(x - 8)
(-x + 10)(6x - 4)
(2x - 4)(6x + 9)
Q. Which of the following polynomials is not a factor of -2x^{5} - x^{4} + 21x^{3}?
x^{3}
(2x + 7)
(-x + 3)
(x + 3)
Q. Factor the polynomial 25x^{2} - 30xy + 9y^{2}.
(5x - 3y)^{2}
-(5x + 3y)^{2}
(5x + 3y)(5x - 3y)
(-5x - 3y)^{2}
(-5x + 3y)(5x + 3y)
Q. If (3x + a)(-x + b) = -3x^{2} + 2x + 40, what are a and b?
a = 20, b = 2
a = 2, b = 20
a = 10, b = 4
a = 4, b = 10
Blood types
Q. What polynomial has roots 3, 5, and -7?
(x + 3)(x + 5)(x-7)
(x-3)(x - 5)(x + 7)
(x + 3)(x + 5)(7 - x)
(x - 3)(x - 5)(7 - x)
Who are we to dig into a polynomial's personal business?
Q. To factor 12x^{2} + 17x + 6 by grouping, we should first rewrite the polynomial as
12x^{2} + 3x + 24x + 6
12x^{2} + 8x + 9x + 6
12x^{2} + 14x + 3x + 6
12x^{2} + 15x + 2x + 6
12x^{2} + 11x + 6
Q. Which of the following polynomial equations has no real number solutions?
-x^{3} = 27
4x^{2} - 36x + 81 = 0
x^{2} + 9 = 0
3x = 4x + 1
x^{2} - x = 0
Q. Find the roots of the polynomial -x^{3} + 9x^{2} - 20x.
0, 4, 5
0, -4, -5
0, -4, 5
0, 4, -5
0, 3, -3