MATHEMATICS HIGH SCHOOL

Is x+1 a factor of the function f(x)=2x⁵-4x⁴+9x³-x+13?Show work supporting your answer.

Answers

Answer 1

Answer:

Answer:

(x+1) will not be factor of given polynomial

Step-by-step explanation:

We have given polynomial $f(x)=2x^5-4x^4+9x^3-x+13$

We have to find that is (x+1) factor of the given polynomial

If (x+1) will be the factor of the polynomial then x= -1 will be the root of the polynomial

And if we put x =-1 in the pronominal then then its value will be zero

$f(-1)=2(-1)^5-4(-1)^4+9(-1)^3-(-1)+13=-2-4-9+1+13=-1$

So (x+1) will not be factor of given polynomial

Related Questions

a school sells boxes of cookies each year for a charity fund .the data set shows the number of boxes the 10 families living on willow avenue buy on average every year. does this data have negative positive or zero skew {2,3,2,2,0,5,2,1,1,3}
Select the correct solution set.-7x ≥ 56 {x | x ≤ -8} {x | x ≥ -8} {x | x ≥ 8}
To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied?First Equation: 5x − 4y = 28 Second equation: 3x - 9y = 30 The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 3 and the second equation by −5. The first equation should be multiplied by 9 and the second equation by 4. The first equation should be multiplied by 9 and the second equation by −4.
My orchard contains 8 rows of 12 apple trees.If each tree produces 400 fruit.How many apples can I harvest
72 raisin cookies sold of Ratio 9:1 to oatmeal cookies sold. How many cookies combined sold

What is the slope intercept form of the graph displayed?

Answers

Answer:

$y=(1)/(2)x+100$

Step-by-step explanation:

Remember the formula: $y=mx+b$

m = the slope which is rise over run.

b = the y-intercept.

The y-intercept is at 100 (as clearly seen in the image), then do your rise over run from any 2 points displayed.

And you will see that you will count up 1 time and over to the right 2 times. That is your slope.

Write the product in standard form. (2p+5)(2p-5)

Answers

Answer:

4p² - 25

Step-by-step explanation:

given

(2p + 5)(2p - 5)

each term in the second factor is multiplied by each term in the first factor, that is

2p(2p - 5) + 5(2p - 5) ← distribute both parenthesis

= 4p² - 10p + 10p - 25 ← collect like terms

= 4p² - 25 ← in standard form

Final answer:

The product of the expressions (2p+5)(2p-5) in standard form, based on the difference of squares formula, is 4p² - 25.

Explanation:

The problem asked is to write the product in standard form for the expression (2p+5)(2p-5). Understanding this problem requires knowledge of the algebraic formula (a+b)(a-b) = a² - b² - this is known as the difference of squares.

By applying this formula to the given expression where a is 2p and b is 5, the product simplifies to (2p)² - (5)².

By squaring each of these terms individually, we get 4p² - 25. Hence, the product of the expressions (2p+5)(2p-5) in standard form is 4p² - 25.

Learn more about Algebra here:

brainly.com/question/24875240

#SPJ11

Number with 1 decimal place is rounded to the nearest whole numberwhat the smallest number rounds up to 100?

Answers

Answer:

100.4

Step-by-step explanation:

100.4 will be smallest number with 1 decimal place and when rounded to the nearest whole number gives 100 as an answer

If 95% of the students are present in a school and the number of absent students is 25, find the total number of students in the school? (A) 500 (B) 400 (C) 600 (D) 450

Answers

Answer: Option A: 500.

Step-by-step explanation:

If 95% of the students are present in a school, then the number of absent students is 5% of the total number of students. We are given that the number of absent students is 25, so we can set up an equation:

0.05x = 25

Solving for x, we get:

x = 25 / 0.05 = 500

Therefore, the total number of students in the school is 500.

Therefore, the correct answer is Option A: 500.

Please let me know if there’s anything else I can help you with!

There are 39 donuts in 3 boxes. Calculate the unit rate of donuts per box. *

Answers

Answer:

Step-by-step explanation:

All you do is divide 39 by 3 and that gets 13

What is the length of the missing side of the quadrilateral shown if the perimeter is 5x^2+2x+1?

Answers

I am thinking that the quadrilateral is not given to be a rhombus.

The perimeter is the sum of the 4 sides.

Adding 2x^2 + x -1 to 3x^2 -5x and then that sum to 4x^2 gives

9x^2 - 4x - 1 as the sum of the three given sides.

Subtract that from the given perimeter to get the missing side length.

5x^2 + 2x + 1 - (9x^2 -4x -1) =

-4x^2 + 6x + 2

Other Questions

Multiply the decimal numbers 37.4 x 2.2 =

What is the distance in space between the points with coordinates (-3,6,7) and (2,-1,4) ?

Which equation represents this problem?Carol's age is three more than two times Lindsay's age. Carol is 39 years old. How old is Lindsay?Let l = Lindsay's age in years. 3l + 2 = 392l–3=393l–2=392l + 3 = 39

There are two fruit trees located at (3,0) and (−3, 0) in the backyard plan. Maurice wants to use these two fruit trees as the focal points for an elliptical flowerbed. Johanna wants to use these two fruit trees as the focal points for some hyperbolic flowerbeds. Create the location of two vertices on the y-axis. Show your work creating the equations for both the horizontal ellipse and the horizontal hyperbola. Include the graph of both equations and the focal points on the same coordinate plane.