Explore BrainMass

Explore BrainMass

    Polynomial Questions

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Section 5.1
    #50
    Complete the factoring of each monomial.

    = -12 ab3c3(8a2bc2)

    #58
    Factor out the GCF in each expression.
    6wz + 15wa

    =3w(2z+5a)

    Section 5.2
    #52

    Factor each polynomial.

    =5(y2+4)

    #56

    =4(3a2-4a-8)

    #70
    Use grouping to factor each polynomial completely
    3x+3z+ax+az

    =3(x+z)+a(x+z)
    = (x+z)(3+a)

    Section 5.3

    #56
    Factor each polynomial. If the polynomial is prime, say so.

    =z2+15z+3z+45
    = z(z+15) + 3(z+15)
    =(3+z)(z+15)

    #98
    Factor each polynomial completely.

    =3t(h2+2h+1)
    =3t(h+1)2

    #100

    =3xy2(x2-x+1)

    Section 5.4
    #56
    Factor each trinomial using trial and error

    =15x2+15x-2x-2
    =15x(x+1) -2(x+1)
    =(15x-2)(x+1)

    #60

    = 15x2+30x+x+2
    =15x(x+2) +(x+2)
    =(15x+1)(x+2)

    #80
    Factor each polynomial completely

    = 2(x2-14x+49)
    =2(x-7)2

    #84

    = -15-20y+6y+8y2
    = (3+4y)(2y-5)

    #90

    =a2(b2-2b-15)
    =a2(b-5)(b+3)

    Section 5.5

    #42
    Factor each polynomial completely. If a polynomial is prime, say so.

    =3x(x2-4)
    =3x(x+2)(x-2)

    #70

    = 3(x2-6x-16)
    =3(x-8)(x+2)

    #78

    =x(x2+6x+9)
    =x(3+x)2

    #84

    =2(m2-900)
    =2(m+30)(m-30)

    Section 5.6
    #8
    Solve each equation.
    (a+6)(a+5)=0
    (a+6) =0 or (a+5) =0
    a= -6 or a =-5

    #48

    Taking square root
    x = or -5

    #58

    Expanding
    =(x2-6x+9)+(x2+4x+4) =17
    = 2x2-2x-4=0

    =2(x2-x-2)
    =2(x+1)(x-2)
    Thus x= -1 or x = 2

    © BrainMass Inc. brainmass.com March 4, 2021, 7:40 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/polynomial-questions-115431

    Attachments

    Solution Summary

    Polynomial Factorize, Solve equation, Prime Polynomial, GCF

    $2.49

    ADVERTISEMENT