Polynomial Questions
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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
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Solution Summary
Polynomial Factorize, Solve equation, Prime Polynomial, GCF
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