Standard Form/Classifying
Classify the polynomial by the degree and number of terms:
2x3
3rd, Monomial
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
Multiply the Polynomials:
3x2 (2x4)
6x6
The cost (in dollars) of making b bracelets is represented by 4+5b. The cost (in dollars) or making b necklaces is represented by 8b+6. Write a polynomial that represents how much more it costs to make b necklaces than b bracelets
3b+2
Classify the polynomial by Degree and Number of Terms
5a2 - 6a
2nd, Binomial
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
Multiply the Polynomials:
(x - 3)(x + 2)
x2 - x - 6
Find the product:
(p-10q)(p+10q)
p^2-100q^2
Classify the polynomial by Degree and Number of Terms
-6a4 + 10a3
4th, Binomial
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
Multiply the Polynomials:
(2m - 1)(m + 2)
2m2 + 3m - 2
A contractor extends a house that was initially 50 ft on each side by x. The area of the house after the renovation is represented by (x+50)^2. Find this product and what the area is when x=15
x^2+100x+2500
4225ft
Classify the polynomial by Degree and Number of Terms
-10k3 + k +1
3rd, Trinomial
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
Multiply the Polynomials:
(4n - 1)(3n + 4)
12n2 + 13n - 4
Find the product:
(3e^2-5e+7)(6e^+1)
18e^4-30e^3+45e^2-5e+7
Classify the polynomial by Degree and Number of Terms
4x - 9x2 + 4x3 - 5x4
4th, Polynomial
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
Multiply the Polynomials:
(d + 3)(d2 - 4d + 1)
d3 - d2 -11d + 3
A rectangular football field has width 10x+10 ft and length 4x+20 ft. Write a polynomial that represents the area of the field and find the area when the width is 160 feet.
(40x^2+240x+200)
57,600 fy