7.1
Find the degree of 8m2n4.
degree = 6
Find the product:
4x(x-12)
4x2 - 48x
Find the product:
(5p+2)2
25p2 + 20p + 4
x(x+7) = 0
x = 0 or x = -7
Complete the statement with sometimes, always, or never.
1. A binomial is ____________________ a polynomial of degree 2.
2. The sum of two polynomials is _______________ a polynomial.
3. The terms of a polynomial are _______________ monomials.
1. Sometimes; the two terms of a binomial can be of any degree.
2. Always; polynomials are closed under addition.
3. Always; a polynomial is a monomial or a sum of monomials.
Write the polynomial in standard form.
8d - 2 - 4d3.
-4d3 + 8d - 2
Find the product:
(8 - 4x)(2x + 6)
-8x2 - 8x + 48
Find the product:
(6x - 3y)2
36x2 - 36xy +9y2
Solve the equation.
(y+2)(y-6) = 0
y = -2 or y = 6
Solve the equation:
(2q - 8)2 = 0
(2n2 - 5n - 6) + (-n2 - 3n + 11)
n2 - 8n + 5
Find the product:
(v - 3)(v2 + 8v)
v3 + 5v2 - 24v
(2a+b)2
4a2 - 4ab + b2
Factor the polynomial:
12a4+8a
4a(3a3+2)
Solve the polynomial:
-28r = 4r2
r = 0 or r = 7
Find the difference.
(t4 - t2 + t) - (12 - 9t2 - 7t)
t4 + 8t2 + 8t - 12
Find the product:
(y+3)(y2+8y - 2)
y3 + 11y2 + 22y - 6
(m+6)(m - 6)
m2 - 36
20x3 + 30x2
10x2(2x+3)
Find the product:
33⦁27
You may not use a calculator, you must use one of the special patterns we learned in section 7.3.
891
The number of individual memberships at a fitness center in m months is represented by 142+12m. The number of family memberships at the fitness center in m months is represented by 52+6m. Write a polynomial that represents the total number of memberships at the fitness center.
194 + 18m
Find the area of the rectangle who length is 2x-9 and whose width is x+5.
2x2 + x - 45
Find the product:
(2k - 4n)(2k+4n)
4k2 - 16n2
Solve the polynomial:
25c +10c2 =0
c = 0 and c = -5/2
Find the area of a triangle whose base is p+1 and whose height is 2p-6.
p2 - 2p - 3