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Maths-

General

Easy

Question

2x³ + 11x² + 5x
Which of the following is NOT a factor of the polynomial above?

x
x + 5
2x + 1
2x + 5

The correct answer is: 2x + 5

Given,
$2 straight x cubed space plus space 11 straight x squared space plus space 5 straight x space equals space straight x space open parentheses 2 straight x squared space plus space 11 straight x space plus space 5 close parentheses not stretchy rightwards double arrow space straight x space open parentheses 2 straight x squared space plus space 11 straight x space plus space 5 close parentheses space equals space straight x open parentheses 2 straight x squared space plus space 10 straight x space plus space straight x space plus space 5 close parentheses not stretchy rightwards double arrow space straight x space open parentheses 2 straight x squared space plus space 11 straight x space plus space 5 close parentheses space equals space straight x space left square bracket 2 straight x space left parenthesis straight x space plus space 5 right parenthesis space plus space 1 left parenthesis straight x space plus space 5 right parenthesis right square bracket not stretchy rightwards double arrow space 2 straight x cubed space plus space 11 straight x squared space plus space 5 straight x space equals space straight x space left square bracket left parenthesis 2 straight x space plus space 1 right parenthesis space left parenthesis straight x space plus space 5 right parenthesis right square bracket$
∴x , x + 5 and 2x + 1 are the factors of the above polynomial .

Related Questions to study

The expression $fraction numerator x to the power of negative 2 end exponent y to the power of 1 half end exponent over denominator x to the power of 1 third end exponent y to the power of negative 1 end exponent end fraction$ , where x > 1 and y > 1, is equivalent to which of the following?

The expression $fraction numerator x to the power of negative 2 end exponent y to the power of 1 half end exponent over denominator x to the power of 1 third end exponent y to the power of negative 1 end exponent end fraction$ , where x > 1 and y > 1, is equivalent to which of the following?

ax³ + bx² + cx + d = 0
In the equation above, a, b, c, and d are constants. If the equation has roots −1, −3, and 5, which of the following is a factor of ax³ + bx² + cx + d = 0

ax³ + bx² + cx + d = 0
In the equation above, a, b, c, and d are constants. If the equation has roots −1, −3, and 5, which of the following is a factor of ax³ + bx² + cx + d = 0

2x² - 2 = 2x + 3
Which of the following is a solution to the equation above?

2x² - 2 = 2x + 3
Which of the following is a solution to the equation above?

parallel

What is the solution to-
- 3 (x - 5) = - 2x + 4?

What is the solution to-
- 3 (x - 5) = - 2x + 4?

Marisa needs to hire at least 10 staff members for an upcoming project. The staff members will be made up of junior directors, who will be paid $640 per week, and senior directors, who will be paid $880 per week. Her budget for paying the staff members is no more than $9,700 per week. She must hire at least 3 junior directors and at least 1 senior director. Which of the following systems of inequalities represents the conditions described if x is the number of junior directors and y is the number of senior directors?

Marisa needs to hire at least 10 staff members for an upcoming project. The staff members will be made up of junior directors, who will be paid $640 per week, and senior directors, who will be paid $880 per week. Her budget for paying the staff members is no more than $9,700 per week. She must hire at least 3 junior directors and at least 1 senior director. Which of the following systems of inequalities represents the conditions described if x is the number of junior directors and y is the number of senior directors?

$fraction numerator 2 space left parenthesis straight x space plus space 1 right parenthesis over denominator straight x space plus space 5 end fraction space equals space 1 space minus space fraction numerator 1 over denominator straight x space plus space 5 end fraction$
What is the solution to the equation above?

$fraction numerator 2 space left parenthesis straight x space plus space 1 right parenthesis over denominator straight x space plus space 5 end fraction space equals space 1 space minus space fraction numerator 1 over denominator straight x space plus space 5 end fraction$
What is the solution to the equation above?

parallel

Ken is working this summer as part of a crew on a farm. He earned $8 per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $10 per hour for the rest of the week. Ken saves 90% of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $270 for the week?

Ken is working this summer as part of a crew on a farm. He earned $8 per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $10 per hour for the rest of the week. Ken saves 90% of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $270 for the week?

During a sale, the cost of each shirt is $ 15 and that of each pair of pants is $ 25. Geoff can spend at most $ 120 at the store. If Geoff buys s shirts and p pairs of pants, which of the following must be true?

During a sale, the cost of each shirt is $ 15 and that of each pair of pants is $ 25. Geoff can spend at most $ 120 at the store. If Geoff buys s shirts and p pairs of pants, which of the following must be true?

Blood volume, V_B, in a human can be determined using the equation $straight V subscript straight B space equals space fraction numerator straight V subscript straight P over denominator 1 space minus space straight H end fraction$
, where V_P is the plasma volume and H is the hematocrit (the fraction of blood volume that is red blood cells). Which of the following correctly expresses the hematocrit in terms of the blood volume and the plasma volume ?

Blood volume, V_B, in a human can be determined using the equation $straight V subscript straight B space equals space fraction numerator straight V subscript straight P over denominator 1 space minus space straight H end fraction$
, where V_P is the plasma volume and H is the hematocrit (the fraction of blood volume that is red blood cells). Which of the following correctly expresses the hematocrit in terms of the blood volume and the plasma volume ?

parallel

x² + 6x + 4 Which of the following is equivalent to the expression above?

x² + 6x + 4 Which of the following is equivalent to the expression above?

A company that makes wildlife videos purchases camera equipment for $32,400. The equipment depreciates in value at a constant rate for 12 years, after which it is considered to have no monetary value. How much is the camera equipment worth 4 years after it is purchased?

A company that makes wildlife videos purchases camera equipment for $32,400. The equipment depreciates in value at a constant rate for 12 years, after which it is considered to have no monetary value. How much is the camera equipment worth 4 years after it is purchased?

In the figure above, line t intersects lines $calligraphic l$ and k. Which of the following statements, if true, would imply that lines $calligraphic l$ and k are parallel?

In the figure above, line t intersects lines $calligraphic l$ and k. Which of the following statements, if true, would imply that lines $calligraphic l$ and k are parallel?

parallel

If f( x) = $fraction numerator x squared space minus space 6 x space plus space 3 over denominator x space minus space 1 end fraction$ , what is f(-1) ?

If f( x) = $fraction numerator x squared space minus space 6 x space plus space 3 over denominator x space minus space 1 end fraction$ , what is f(-1) ?

T = 1,000 + 18 h
Where,
T = Brittany's total take-home pay ($) for the first week of work
h = number of hours she worked that week
1,000 = sign-on bonus
If Brittany's total take-home pay was $ 1,576, for how many hours was Brittany paid for her first week of work?

T = 1,000 + 18 h
Where,
T = Brittany's total take-home pay ($) for the first week of work
h = number of hours she worked that week
1,000 = sign-on bonus
If Brittany's total take-home pay was $ 1,576, for how many hours was Brittany paid for her first week of work?

Terrence's car contains 8 gallons of fuel. He plans to drive the car m miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of m?

Terrence's car contains 8 gallons of fuel. He plans to drive the car m miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of m?

parallel

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