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# HW7 - MAP 103 Prociency Algebra Homework#7 DUE THURSDAY 1...

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MAP 103: Proficiency Algebra Homework #7 DUE: THURSDAY, OCTOBER 22, 2009 1. Factor each of the following polynomials using “trial and error.” (a) 3 x 2 + 15 x + 4 (b) 7 x 2 - 6 x - 7 2. Factor each of the following polynomials using grouping. (a) 3 x 3 - 9 x 2 + 6 x - 18 (b) 1 + x + xy + y 3. Factor each of the following polynomials using substitution. (a) ( x + 1) 2 - 10( x + 1) + 9 (b) ( x - 1) 4 - ( x - 1) 2 4. Use the Rational Root Test to find one factor in the form x - c or x + c for the given polynomials. (a) 6 x 5 + 7 x 4 + 3 x 3 - 10 x 2 + 20 x + 50 (b) 4 x 7 - 6 x 5 + 2 x + 8 5. Find the quotient and remainder (if any) using long divison. Show all work. Make sure if powers are missing to insert place holders, i.e. 0 x missing power . (a) 2 x 4 - 5 x 3 + 7 x 2 + 3 x - 4 (b) x 6 - x 4 - x 2 - 1 x + 1 6. Find the greatest common divisor, gcd( p, q ) , of the polynomials, p and q, given below. (a) p = x 3 + 1 , q = x 2 + x - 1 (b) p = x 4 + x 3 - x - 1 , q = x 3 - 2 x 2 + 2 x - 1 7. Use the Rational Root Test in concert with the Remainder/Factor Theorem to write the given
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• Fall '08
• Staff
• Fraction, Prime number, Greatest common divisor, Greatest common divisor of two polynomials, Rational Root Test

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