Answers
Step-by-step explanation:
Given
f(x) = 4x³ + 3x² - 2x - 1Divide it by the following:
(a) 2x + 1
4x³ + 3x² - 2x - 1 =(4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =(2x + 1)(2x² + 1/2x - 5/4) + 1/4Quotient = 2x² + 1/2x - 5/4
Remainder = 1/4
(b) 2x - 3
4x³ + 3x² - 2x - 1 = (4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 = (2x -3)(2x² + 4.5x + 5.75) + 16.25Quotient = 2x² + 4.5x + 5.75
Remainder = 16.25
(c) 4x - 1
4x³ + 3x² - 2x - 1 = (4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =(4x - 1)(x² + x - 1/2) - 3/2Quotient = x² + x - 1/2
Remainder = - 3/2
(d) x + 2
4x³ + 3x² - 2x - 1 = (4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =(x + 2)(4x² - 5x + 8) - 17Quotient = 4x² - 5x + 8
Remainder = - 17
Step-by-step explanation:
Given
f(x) = 4x³ + 3x² - 2x - 1
Divide it by the following:
(a) 2x + 1
4x³ + 3x² - 2x - 1 =
(4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =
2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =
(2x + 1)(2x² + 1/2x - 5/4) + 1/4
Quotient = 2x² + 1/2x - 5/4
Remainder = 1/4
(b) 2x - 3
4x³ + 3x² - 2x - 1 =
(4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =
(2x -3)(2x² + 4.5x + 5.75) + 16.25
Quotient = 2x² + 4.5x + 5.75
Remainder = 16.25
(c) 4x - 1
4x³ + 3x² - 2x - 1 =
(4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =
(4x - 1)(x² + x - 1/2) - 3/2
Quotient = x² + x - 1/2
Remainder = - 3/2
(d) x + 2
4x³ + 3x² - 2x - 1 =
(4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =
(x + 2)(4x² - 5x + 8) - 17
Quotient = 4x² - 5x + 8
Remainder = - 17
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
On Roberto’s shelf he has 6 mystery books, 5 science fiction, 4 history and 3 adventure. Roberto will randomly choose 1 book to read. What is the probability that he will choose an adventure book?
Answers
Answer:
3/18, or simplified, he has a 1/6 chance of grabbing an adventure book.
Step-by-step explanation:
6 + 5 + 4 + 3 = 18. There's 3 adventure books, which makes it so that he has a 3/18 chance of it being an adventure book. How did I simplify? 18 ÷ 3 = 6, 3 ÷ 3 = 1.
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Answers
Answer:
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a
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c
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d
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Answers
9514 1404 393
Answer:
(d) see below
Step-by-step explanation:
Since each grid square is 1/4 unit. the coordinates in terms of grid squares are ...
A(0.50, -1.25) ⇒ (0.50/.25, -1.25/.25) = (2, -5) . . . grid squares
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Answer:
I believe it's D
Step-by-step explanation:
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Answers
Answer:
9 pounds would be 144 ounces!
Step-by-step explanation:
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Answers
Answer:33
Step-by-step explanation: Subtract 91 by 58
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Answer:
The beans weigh 33 grams more than the rice.
Step-by-step explanation:
To solve this, find the difference between the two numbers by subtracting the smaller number from the larger one.
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Answers
Explanation: multiply by 3 each time
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Answers
Answer:
There are 15 quarters and 18 nickles
Step-by-step explanation:
The equations derived from this word problem are
5n + 25q = 465
and
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Then plug 15 into second equation (cause it's easier).
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Answers
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer: E
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Answers
Answer:
she spent 1050$
Step-by-step explanation:
1500-1050=450
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Answers
Answer:
B
Step-by-step explanation:
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y = -1/2x + 3/2
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If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
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Answers
Answer:
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Step-by-step explanation:
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Answers
ANSWER:
25/144
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Answer:
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Please helppp it’s confusing!!!
Answers
Answer:
First you'd look at PEMDAS (parenthesis, exponent, multiplication, division, addition, and subtraction( you'd look at them in this order to solve the equation properly.))
So there is a parenthesis, that would be the 3(2^0). ignore the three, because you're focusing on the parenthesis. Any number other than zero with an exponent of zero will always be one. leaving you with 3(1).
So by now you should know (depending on your level of mathematics, That a number beside a single number in a parenthesis is multiplication. so 3 times 1.
Knowing that any number, other than zero, multiplied by 1 is the number itself, The answer is 3
In short, 3(2^0) = 3