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# 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?

5x3 – 7x + 9 = 3x4 + 2x + 7
3x2 + 8 = 0
4x8 – 6x -1 = 0
11x(4x – 17) = 0
2x7 + x - 4 = 0
Q. The polynomial (abc)2 – 100b4 factors completely as

(abc + 10b2)2
(abc – 10b2)(abc + 10b2)
(abc – 10b2)2
b2(ac – 10b)(ac + 10b)
abc – 10b2
Q. Factor the polynomial -6x2 + 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 -2x5x4 + 21x3?

x3
(2x + 7)
(-x + 3)
(x + 3)
Q. Factor the polynomial 25x2 – 30xy + 9y2.

(5x – 3y)2
-(5x + 3y)2
(5x + 3y)(5x – 3y)
(-5x – 3y)2
(-5x + 3y)(5x + 3y)
Q. If (3x + a)(-x + b) = -3x2 + 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 12x2 + 17x + 6 by grouping, we should first rewrite the polynomial as

12x2 + 3x + 24x + 6
12x2 + 8x + 9x + 6
12x2 + 14x + 3x + 6
12x2 + 15x + 2x + 6
12x2 + 11x + 6
Q. Which of the following polynomial equations has no real number solutions?

-x3 = 27
4x2 – 36x + 81 = 0
x2 + 9 = 0
3x = 4x + 1
x2x = 0
Q. Find the roots of the polynomial -x3 + 9x2 – 20x.

0, 4, 5
0, -4, -5
0, -4, 5
0, 4, -5
0, 3, -3