Is it a monomial?
Yes or no
3x^2
Yes
3x * 4xy
12x^2y
(5x+6)+(-3x+8)
2x+14
This is the name of a polynomial with three terms.
Trinomial
Find the product.
(x+5)(x+8)
x^2+13x+40
Yes or no
-5x^3 - 7
No, it is a Binomial!
(-5a^3)(3b^3)
-15a^3b^3
(-7c+4)-(9-2c)
-5c-5
This is the name of a polynomial with a degree of four.
Quartic
Find the product.
(2x-5)(3x-1)
6x^2-17x+5
Yes or no
-8
Yes
(5yz)^2
25y^2z^2
(4xy-x^2y+3)+(3x^2y-3)
Once you simplify, rewrite the expression in Standard Form!
2x^2y+4xy
Classify the polynomial by its number of terms and its degree. Then determine the leading coeffecient.
4x^3-x
Cubic Binomial, LC=4
Isabella states that when we multiply two sets of binomials we will always get a trinomial product. i.e. (x-7)(x+2)=x^2-5x-14
Is Isabella correct? Explain your answer.
No. Difference of Squares.
(x+3)(x-3)=x^2-9
Yes or no
19x^2y^3z^-4
No, negative exponent!
(-4abc^2)^3
-64a^3b^3c^6
(-3x^2y-4xy+1)-(2xy^2+4xy)
Once you simplify, rewrite the expression in Standard Form!
-3x^2y-2xy^2-8xy+1
Classify the polynomial by its number of terms and its degree. Then determine the leading coeffecient.
-5a+9ab-6abc+2
Cubic Quadrinomial, LC=-6
Find the product.
(x-9)^2
x^2-18x+81
Yes or no
-7x^2y + 5x^2y
Yes, Combine Like Terms!
A cube has a side length, s, of 5x inches. Find the volume of the cube.
Hint: Volume of a cube is V = s^3
125x^3 inches cubed
The formula companies use to find their PROFIT is Profit = Revenue - Cost. If a company's revenue is 12.4t^2+4.9t+210 and its cost of operations is 1.8t^2+6.6t+105 , find its revenue.
10.6t^2-1.7t+105
Classify the polynomial by its number of terms and its degree. Then determine the leading coefficient. (Simplify first!)
(2x^2-5)-(3x^5+4x^2+3)
-3x^5-2x^2-8
Quintic Trinomial, LC=-3
Find the product.
(x-4)(2x+2)(3x-5)
6x^3-28x^2+6x+40