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Polynomial Questions

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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