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Polynomials

Polynomials

Polynomials: The X-Factor: or, Factoring with X's True or False

1. Which of the following is not a polynomial equation? -> 5x3 – 7x + 9 = 3x4 + 2x + 7
2. The polynomial (abc)2 – 100b4 factors completely as -> (abc – 10b2)(abc + 10b2)
3. Factor the polynomial -6x2 + 53x – 40. -> (-6x + 5)(x – 8)
4. Which of the following polynomials is not a factor of -2x5x4 + 21x3? -> x3
5. Factor the polynomial 25x2 – 30xy + 9y2. -> (5x + 3y)(5x – 3y)
6. If (3x + a)(-x + b) = -3x2 + 2x + 40, what are a and b? -> a = 10, b = 4
7. What polynomial has roots 3, 5, and -7? -> (x – 3)(x – 5)(x + 7)
8. To factor 12x2 + 17x + 6 by grouping, we should first rewrite the polynomial as -> 12x2 + 8x + 9x + 6
9. Which of the following polynomial equations has no real number solutions? -> x2 + 9 = 0
10. Find the roots of the polynomial -x3 + 9x2 – 20x. -> 0, -4, -5

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