Adding & Subtracting
Add the following Polynomials expressions and reorder to be in standard form:
(-3m^2 + m) + (4m^2 + 6m)
What is
m^2 + 7m
Classify by degree and name:
3x^2
What is Degree 2(Quadratic) Monomial?
Which of the following is a rational number?
π, 8/5, square root of 15, -9.12345678....
8/5
What is an equivalent expression to
n^4(n^8)
What is
n^12
Factor out the GCF:
35m^8+35m^2n^4-5m^2
What is
5m^2(7m^6+7n^4-1)
Subtract the following Polynomials expressions and reorder to be in standard form:
(5a + 4) − (5a + 3)
What is 1?
What is the constant?
5x^7+8
8
Express the simplified expression in standard form.
7b+5-9b^2-10-4b
-9b^2+3b-5
Find the Product:
5n(n-6)
What is
5n^2-30n
Factor out the GCF:
45x^4+81y+81xy
What is
9(5x^4+9y+9xy)
Add the following Polynomials expressions and reorder to be in standard form:
(2x^2 + 1) + (x^2 - 2x + 1)
What is
3x^2 - 2x + 2
What is the Leading Coefficient?
9x^3+2x+1
9
Factor
x^2-4x-32
(x-8)(x+4)
Find the Product:
(b-5)(8b+3)
What is
8b^2-37b-15
Factor Completely:
a^2-64
What is
(a-8)(a+8)
Subtract
(10a − 2a^5 − 14a^4) from (12a^5 − 6a − 10a^3)
What is
14a^5 + 14a^4 − 10a^3 − 16a
What is the leading coefficient?
2x^5-4x^6+2-3x
-4
Is the sum of 6/11 and the square root of 13 rational or irrational? Explain your reasoning.
Irrational because the sum is 4.151005821... and that is a non-repeating, non-terminating decimal.
Find the Product:
(3b+7)(b+6)
What is
3b^2+25b+42
Factor Completely:
m^2-2m-48
What is
(m-8)(m+6)
Subtract the first polynomial from the 2nd polynomial.
(−14 + 5p^5 − 11 p^2)
(14p^4 + 11p^2 − 9p^5)
What is
−14 p^5 + 14p^4 + 22 p^2 + 14
Reorder this Polynomial to be in standard form, then name the degree and constant:
27x^2+x^8+5x^3-12
The degree is 8 and the constant is -12.
x^8+5x^3+27x^2-12
Factor completely
100a^2-81
(10a-9)(10a+9)
Find the Product:
(3r-6)(-7r^2-6r-6)
What is
-21r^3+24r^2+18r+36
Factor Completely:
7r^2-70r+63
What is
7(r-9)(r-1)