MAP 103: Proficiency AlgebraHomework #7DUE: THURSDAY, OCTOBER 22, 20091.Factor each of the following polynomials using “trial and error.”(a) 3x2+ 15x+ 4(b) 7x2-6x-72.Factor each of the following polynomials using grouping.(a) 3x3-9x2+ 6x-18(b) 1 +x+xy+y3.Factor each of the following polynomials using substitution.(a) (x+ 1)2-10(x+ 1) + 9(b) (x-1)4-(x-1)24.Use the Rational Root Test to find one factor in the formx-corx+cfor the given polynomials.(a) 6x5+ 7x4+ 3x3-10x2+ 20x+ 50(b) 4x7-6x5+ 2x+ 85.Find the quotient and remainder (if any) using long divison. Show all work. Make sure if powersare missing to insert place holders, i.e. 0xmissing power.(a)2x4-5x3+ 7x2+ 3x-4(b)x6-x4-x2-1x+ 16.Find the greatest common divisor, gcd(p, q),of the polynomials,pandq,given below.(a)p=x3+ 1, q=x2+x-1(b)p=x4+x3-x-1, q=x3-2x2+ 2x-17.Use the Rational Root Test in concert with the Remainder/Factor Theorem to write the given
This is the end of the preview.
access the rest of the document.
Fraction, Prime number, Greatest common divisor, Greatest common divisor of two polynomials, Rational Root Test