vocabulary
adding and subtracting polynomials
Multiplying polynomials
Dividing polynomials
100
A monomial or a sum or difference of monomials.
What is Polynomial
100
(15x^2-3x+11)+(2x^3-x^2+6x+1)
What is 2x^3+14x^2+3x+12
100
(5x^2)(–2x^3)
What is –10x^5
100
2x+4/2
What is x + 2
200
A number or a product of numbers and variables with whole number exponents.
What is monomial
200
(3x^3 + 3x^2 – 4x + 5) + (x^3 – 2x^2 + x – 4)
What is 4x^3 + 1x^2 – 3x + 1
200
–3x(4x^2 – x + 10)
What is –12x^3 + 3x^2 –30x
200
21x^3-35x^2/7x
What is 3x^2 – 5x
300
The sum of the exponents of the variables.
What is the degree of a monomial
300
(7x^2 – x – 4) + (x^2 – 2x – 3) + (–2x^2 + 3x + 5)
What is 6x^2 – 2
300
(x + 3)(x + 2)
What is x^2 + 5x + 6
300
x(x+3)-2(x+3)/x+3
What is x – 2
400
The coefficient of the first term.
What is the leading coefficient
400
(x^3 + 3x^2 + 5x – 4) – (3x^3 – 8x^2 – 5x + 6)
What is –2x^3 + 11x^2 + 10x –10
400
(x^2+5x+1)(3x^2-10x+15)
What is x^2+5x+1
500
A shorthand method of dividing a ploynomial by a linear bynomial using only the coefficients.
What is synthetic division
500
(6x^3 – 2x^2 + 8x) – (4x^3 – 11x + 10)
What is 2x^3 – 2x^2 + 19x – 10
500
(x + 2y)(3x − 4y + 5)
What is 3x^2 + 2xy + 5x − 8y^2 + 10y
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