# 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

https://brainmass.com/math/basic-algebra/polynomial-questions-115431

#### Solution Summary

Polynomial Factorize, Solve equation, Prime Polynomial, GCF