The number of positive and negative roots or zeros of a polynomial function is predicted through the Descartes Rule of Sign. This was first described by Rene Descartes in his work La Geometrie. The technique is for determining an upper bound on the number of positive and negative real roots.
Answer:
30
Step-by-step explanation:
So we begin by assigning variables to each side with:
DE = x
EF = y
DF = z
Now we start listing a system of equations from what is given:
x+y+z=81
x=2y
x-4=z
Once we solve that with substitution, we get the result of:
x=34
y=17
z=30.
Since z is the length of DF, the length of DF is 30.
I hope this helped! :D
Answer:
23,070
Step-by-step explanation:
13,170-6570=6600
6600-3300=3300
13,170+6600+3300=23,070
The school uses 23,070 pieces of paper
Answer:
Cubic trinomial
Step-by-step explanation:
The degree of a term is the sum of the exponents of its variables
- Quadratic: a polynomial of degree two
- Cubic: a polynomial of degree three
Therefore, -5x³ - 4x + 1 is a cubic (since the sum of the exponents is 3)
- monomial: a polynomial with exactly one term
- binomial: a polynomial with exactly two terms
- trinomial: a polynomial with exactly three terms
Therefore, -5x³ - 4x + 1 is a trinomial (as it has exactly 3 terms)