Use the REMAINDER THEOREM to explain whether or not (x-2) is a factor of F(x)=x^4-2x^3+3x^2-10x+3

Answers

Answer 1

Answer: $(P(x))/(R(x))|(D(x))/(Q(x))$

$\frac{x^4-2x^3+3x^2-10x+3}{}|\frac{x-2}{}$

$(x^4-2x^3+3x^2-10x+3)/(-x^4+2x^3)|(x-2)/(x^3)$

$(3x^2-10x+3)/(-3x^2+6x)|(x-2)/(x^3+3x)$

$(-4x+3)/(4x-8)|(x-2)/(x^3+3x-4)$

$\frac{-5}{}|(x-2)/(x^3+3x-4)$

$\boxed{\boxed{(x^4-2x^3+3x^2-10x+3)/(-5)|(x-2)/(x^3+3x-4)}}$

$R(x)=-5$

Related Questions

Which expressions are completely factored?Choose all answers that are correct. Question 4 options: 18x^4 – 12x^2 = 6x(3x^3 – 2x) 12x^5 + 8x^3 = 2x^3(6x^2 + 4) 20x^3 + 12x^2 = 4x^2(5x + 3) 24x^6 – 18x^5 = 6x^5(4x – 3)
-3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.
What is the value of (–7 + 3i) – (2 – 6i)?–9 + 9i –9 – 3i –5 – 3i –5 + 9i (-7 + 3i) - (2 - 6i) = -7 + 3i - 2 + 6i = (-7 + (-2)) + (3i + 6i) = -9 + 9i This is how I worked it out^ Was I correct?
Computer Craft pays its sales associates a 15% commission on every sale. Barry sold a laptop computer for $1,900 and a printer for $300.How much money did Barry earn on the sale of the items?
Can someone help? anyone who's taking like geometry?

What are the solutions of x^2 - 5x+7 = 0 ?

Answers

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=(-b\pm√(b^2-4ac) )/(2a)$

Algebra II

Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define

x² - 5x + 7 = 0

Step 2: Identify Variables

a = 1

b = -5

c = 7

Step 3: Find solutions

Substitute [Quad Formula]: $x=(5\pm√((-5)^2-4(1)(7)) )/(2(1))$
Evaluate Exponents: $x=(5\pm√(25-4(1)(7)) )/(2(1))$
Evaluate Multiplication: $x=(5\pm√(25-28) )/(2)$
Evaluate Subtraction: $x=(5\pm√(-3) )/(2)$
Factor: $x=(5\pm√(-1) √(3) )/(2)$
Simplify: $x=(5\pm i√(3) )/(2)$

The solutions to the equation x² - 5x + 7 = 0 are:

x = (5 + i√3) / 2 or x = (5 - i√3) / 2

Option C is the correct answer.

We have,

To find the solutions of the quadraticequation x² - 5x + 7 = 0, we can use the quadraticformula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, the coefficients are:

a = 1

b = -5

c = 7

Substituting these values into the quadraticformula,

x = (-(-5) ± √((-5)² - 4(1)(7))) / (2(1))

Simplifying further:

x = (5 ± √(25 - 28)) / 2

x = (5 ± √(-3)) / 2

Since the discriminant (the value inside the square root) is negative, √(-3) is imaginary, meaning there are norealsolutions to this quadratic equation.

The solutions exist in the complex number system.

So,

√-1 = i

x = (5 ± i√3) / 2

This can be written as,

x = (5 + i√3) / 2

and

x = (5 - i√3) / 2

Thus,

The solutions to the equation x² - 5x + 7 = 0 are:

x = (5 + i√3) / 2 or x = (5 - i√3) / 2

Learn more about solutionsofequations here:

brainly.com/question/545403

#SPJ6

What is the slope of any line parallel to the line8x + 9y = 3 in the standard (x,y) coordinate plane?

Answers

The slope of any line parallel to that line is -8/9

parallel -8/9 hope that helpd

Show how to apply the order of operation rules as you simplify the following expression.|-5| – 45 ÷ 3

Answers

$|-5| - (45)/(3)$

$5- (45)/(3)$ $Simplify \ (45)/(3) \ to \ 15$

$5-15$

$\boxed{\boxed{=-10}}$ $Solution$

There arnt really any steps
|-5|-45/3=-10

How many angles does a dodecagon have

Answers

$A\ dodecagon\ has\ 12\ angles.\n\nSum\ of\ the\ angles\ is\ (12-2)\cdot 180^0=10\cdot180^0=1800^0$

A dodecagon has 12 angles. 'Do' means two and 'Deca' means ten. That's how i got it.

Identify the series as geometric or arithmetic.
2, 4/3, 8/9, 16/27

Answers

Hello,

$((4)/(3))/(2)=(4)/(6)=(2)/(3)$

$((8)/(9))/((4)/(3))=(8*3)/(9*4)=(2)/(3)$

$((16)/(27))/((8)/(9))=(16*9)/(27*8)=(2)/(3)$

The sequence is geometric .
(a serie is a sum)

Write the polynomial in standard form. Give the degree of the polynomial. Classify the polynomial byits degree.

a. 7x-14x^4 +19x^3 +26x^5-18

Standard form:

degree:

name based on degree:

Answers

Answer:

Sure, I'd be happy to help!

The polynomial you provided is:

7x - 14x^4 + 19x^3 + 26x^5 - 18

To put this polynomial in standard form, we need to factor it. Here's the factored form of the polynomial:

7x(1 - 14x^3 + 19x^2 + 26x^4) - 18

Now, we can see that the degree of the polynomial is 4, so it is a quartic polynomial.

Based on the degree of the polynomial, we can classify it as a quartic polynomial.

Step-by-step explanation:

Other Questions

An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram coincide with its preimage during the rotation?

A man travels for 6 hours at a rate of 50 miles per hour. His return trip takes him 7 1/2 hours. What is his average speed for the whole trip?

What is the sum of the polynomials? ( 8x^2 -9y^2-4x) + (x^2- 3y^2- 7x) answer options are in the pics

Show the check. 3B -12/3B + 12 = -2 + 1B + 6The solution to this problem is B=4But I don’t know how to check the answer, please help and explain, PLEASE!