AFM Unit 2 Review

Which is a 4th degree polynomial with a negative leading coefficient?

• -5x²+4x³+7x⁴-2

• -9+8x-12x²-7x³-2x⁴

• 4x²+4+4x⁴

• -x³+2x²-17x+4

Which of the following is the complete factorization of (x⁴-16)?

• (x²+4)(x²-4)

• (x²+4)(x+2)(x-2)

Which of the following is equal to (2x²+x-4) subtracted from (3x²-6x+17)

• 5x²-5x+13

• x²-7x+23

• x²-5x+13

• -x²+7x-23

Which is a list of all the roots of (x³+5x²+6x)?

• {-3,-2,0}

• {0,2,3}

• {1,5,6}

• {-6,-5,-1}

Which of the following is equal to (p+2r)³

• p³+8r³

• p³+8pr+8r³

• p³+3p²r+3pr²+8r³

• p³+6p²r+12pr²+8r³

Given P(x)=4x³+11x²+16x-9, which of the following is true?

• as x→+∞, P(x)→-∞

• as x→+∞, P(x)→+∞

If √7 is a root of a polynomial with integer coefficients, which of the following must be another root?

• √7

• i√7

• -√7

• 7

Which of the following is NOT a factor of (x³-4x²-21x+18)

• (x-3)

• (x+3)

• (x+2)

Which of the following is equal to (x+4)(2x²-3x+1)?

• 2x³+5x²-11x+4

• 7x²-11x+4

• 7x²-13x+4

• 2x³+5x²-13x⁺⁴

Which monomial has the same degree as 6a²b⁸c?

• 18t⁸

• 12p⁶q⁵

• 9a⁵b³c²

• 6w⁴x²y³z³