Math
1+1
2
He is __ animal
choose which word to use
a or an
an
he is an animal
Are humans
mammals or reptiles
Mammals
What is hello in spanish
Hola!
who was the 1st president of the united states
George Washington
x+5=25
20
Please name the name of the book from this quote
“We dream in our waking moments, and walk in our sleep.”
The Scarlett Letter
Why is the sun the only star that can be seen during the daytime?
Stars aren't visible during the sunlit hours of daytime because the light-scattering properties of our atmosphere spread sunlight across the sky. Seeing the dim light of a distant star in the blanket of photons from our Sun becomes as difficult as spotting a single snowflake in a blizzard.
What does merci mean in French
Thank you
Who was the first black man to hold the WWE Heavyweight Championship of the World
The Rock
Kofi Kingston
800x2
1600
pronounce Quinoa.
keen wah
what is cryptozoology
the study of mythical creatures like Bigfoot
what is hard and chinese
硬
Yìng
Who was the king of England before Elizabeth II?
George VI
what is the formula for the Pythagorean theorem
a2+b2=c2
"O ________ my ___________"
fill in the blank
captain, captain
what is botany
study of plants
Is google translate a good source
no
What groups of people were killed in the holocaust
name 2
Jews
Soviet civilians
Soviet POWs
Poles
Serbs
Disabled people
Romani
Freemasons
Slovenes
Homosexuals
Spanish Republicans
Jehovah's Witnesses
For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x)?
A) x−5 is a factor of p(x).
B) x−2 is a factor of p(x).
C) x+2 is a factor of p(x).
D) The remainder when p(x) is divided by x−3 is −2.
ANSWER EXPLANATION: If the polynomial p(x) is divided by a polynomial of the form x+k (which accounts for all of the possible answer choices in this question), the result can be written as
p(x)x+k=q(x)+rx+k
where q(x) is a polynomial and r is the remainder. Since x+k is a degree-1 polynomial (meaning it only includes x1 and no higher exponents), the remainder is a real number.
Therefore, p(x) can be rewritten as p(x)=(x+k)q(x)+r, where r is a real number.
The question states that p(3)=−2, so it must be true that
−2=p(3)=(3+k)q(3)+r
Now we can plug in all the possible answers. If the answer is A, B, or C, r will be 0, while if the answer is D, r will be −2.
A. −2=p(3)=(3+(−5))q(3)+0
−2=(3−5)q(3)
−2=(−2)q(3)
This could be true, but only if q(3)=1
B. −2=p(3)=(3+(−2))q(3)+0
−2=(3−2)q(3)
−2=(−1)q(3)
This could be true, but only if q(3)=2
C. −2=p(3)=(3+2)q(3)+0
−2=(5)q(3)
This could be true, but only if q(3)=
−25
D. −2=p(3)=(3+(−3))q(3)+(−2)
−2=(3−3)q(3)+(−2)
−2=(0)q(3)+(−2)
This will always be true no matter what q(3) is.
Of the answer choices, the only one that must be true about p(x) is D, that the remainder when p(x) is divided by x−3 is -2.
The final answer is D.
Who wrote "Cask of Amontillado" and who was the protagonist?
Edgar Allen Poe wrote it
Fortunato was the protagonist
Name the study of life
Biology
Translate this sentence in Spanish
Hello my name is Diego
Hola, Me llamo Diego
Name the 2nd president who was assassinated
James A Garfield