9ListadeexercíciosProdutosNotavéis_FatoraçãocomResolução

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Centro Universitário do Sul de Minas – Unis/MG
LISTA DE EXERCÍCIOS : Produtos Notáveis e Fatoração . 
Engenharia Civil: Matemática
	
1) Aplicando as regras dos produtos notáveis, desenvolva:
a) 
b) 
c) 
d) 
e) 
f) 
g) 
h) 
i) 
j) 
k) 
l) 
m) 
n) 
o) 
p) 
q) 
r) 
s) 
t) 
u) 
2) Simplifique as expressões:
a) 
b) 
c) 
d) 
e) 
f) 
g)
h) 
3) Simplifique as expressões abaixo, utilizando as regras dos produtos notáveis e reduza os termos semelhantes:
a) 
b) 
c) 
d) 
e) 
4) Resolva os problemas:
a) Se A= e B=, calcule A-B.
b) Dados A= e B=, determine 
c) Se A=, B= e C=, determine A-B+C.
GABARITO - 1º parte – Produtos Notáveis
1)a) 
b) 
c) 
d) 
e) 
f) 
g) 
h) 
i) 
j) 
k) 
l) 
m) 
n) 
o) 
p) 
q) 
r) 
s) 
t) 
u)
2)a) 
b) 
c) 
d) 
e) 
f) 
g) 
h) 
3)a) 
b) 
c) 
d) 
e) 
4)a) b) c) 
Fatoração
1) Colocando o fator comum em evidência, fatore os polinômios:
a) 10x + 10y
b) 4 a -3ax
c) 
d) 
e) 
f) 
g) 
h) 
i) 
j) 
k) 
l) 
m) 
n) 
o) 
2) Fatore por agrupamento:
a) 
e) 
b) 
c) 
d) 
e) 
3) Fatore os seguintes polinômios, usando diferença de quadrados:
a) 
b) 
c) 
d) 
e) 
f) 
g) 
h) 
i) 
l) 
m) 
4) Fatore cada um dos trinômios:
a) 
b) 
c) 
d) 
e) 
f) 
g) 
h) 
i) 
j) 
k) 
l) 
m) 
5) Faça a fatoração completa:
a)	
b)	
c)	
d)	
e)	
f)	
g)	
h)	
i)	
j)	
k)	
l)	
m)	
n)	
o)	
GABARITO - 2º parte – Fatoração
1) a) 10(x+y)	b) a(4a-3x)
c) a( a-5b)	d) y(x+y-1)
e) 7c(5+c)
f) 
g) 
h) 
i) 
j)
k)
l)(m+1)(a-b)	m)(n+h)(x+y)
n)
o)
2)	 a)(a+b+c)(x+y)		b) (2x+5)
c)(b-3)(a-4)		d)(a-1)(a-x)
e)(x-y)(a+1)
3)	a)(x+9)(x-9)	b) (10+a)(10-a)
	c)(1+Mn)(1-mn)	d)(4x+3y)(4x-3y)
	e)(7h+9p)(7h-9p)
	f)
	g)
	h)
	i)
	j)
	k)
4) 	a)	b)
	c)	d)
	e)	f)
	g)	h)
	i)	j)
	k)	l)
	m)
5)	a)
b)
c)
d)
e)
	f)	g)
	h)	i)
	j)	k)
	l)	m)
	n)	o)
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