Adding and Subtracting Polynomials
Find the sum:
(5y + 4) + (-2y + 6)
k2 + 6k - 27
(4z - 12)2 = 0
z = 3
Factor 5z2 + 45z
5z(z + 9)
Factor the polynomial:
y2 + 13y + 40
(y + 5)(y + 8)
Find the sum:
(-3p2 + 5p - 2) + (-p2 - 8p - 15)
(4n - 1)(2n + 5)
8n2 + 18n - 5
(1/2 y + 4)(y - 8) = 0
y = -8; y = 8
Factor 5t5 + 20t3 + 50t2
5t2 (t3 + 4t + 10)
Factor the polynomial:
x2 - 9x + 20
(x - 4)(x - 5)
Find the difference:
(k2 - 7k + 2) - (k2 - 12)
-7k + 14
2r2 - 5rs - 3s2
(1/3 d - 2)(1/3 d + 2) = 0
d = 6; d = -6
Solve the Equation:
6k3 + 39k2 = 0
k = 0; k = -13/2
Factor the polynomial:
y2 + 2y - 48
(y + 8)( y - 6)
Find the difference:
(-r - 10) - (-4r2 + r + 7)
4r2 - 2r - 17
The width of a calculator can be represented by (3x + 1) inches. The length of the calculator is twice the width. Write a polynomial that represents the area of the calculator.
18x2 + 12x + 2 inches2
(2p + 3)(2p - 3)(p + 7) = 0
p = -3/2
p = 3/2
p = -7
Your brother is y years old. Your older cousins are 2y2 and 6y years old. The difference between your cousins’ ages is zero. Your brother is older than 1 year old. How old is he?
3 years old
Solve:
n2 - 5n - 24
n = -8, n = 3
Find the difference:
(4t2 - 9t + 3) - (2t2 - 5t - 4)
2t2 - 4t + 7
(3e2 - 5e + 7)(6e + 1)
18e3 - 27e2 + 37e + 7
The Gateway Arch in St. Louis can be modeled by y = -2/315 (x + 315)(x - 315), where x and y are measured in feet. The x-axis represents the ground. Find the width of the arch at ground level.
630 feet
Solve the equation:
8g3 - 2g2 = 2g3 - 5g2
g = 0; g = -1/2
Find all of the integer values of b for which the trinomial x2 + bx − 12 has two binomial factors of the form (x + p) and (x + q).
1, -1, 4, -4, 11, -11