руффини метод (4x^3-7x^2-11x+5)/(4x+5)

Topic

Full pad

`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

simplify solve for inverse tangent line

See All

area

asymptotes

critical points

derivative

domain

eigenvalues

eigenvectors

expand

extreme points

factor

implicit derivative

inflection points

intercepts

inverse

laplace

inverse laplace

partial fractions

range

slope

simplify

solve for

tangent

taylor

vertex

geometric test

alternating test

telescoping test

pseries test

root test

Steps Examples

Generated by AI

synthetic division 4x³−7x²−11x+54x+5

Solution

x²−3x+1

Show Steps

Hide Steps

Solution steps

One step at a time

4x³−7x²−11x+54x+5

Factor out coefficient of the denominator

4x+5=4· (x+54 )

4x³−7x²−11x+54(x+54 )

Coefficients of the numerator polynom

4 −7 −11 5

Find the zeros of the denominator: x=−54

Write the problem in synthetic division format

−54 ¦ 4 −7 −11 5

Carry down the leading coefficient, unchanged, to below the division symbol

−54 ¦ 4 −7 −11 5

Multiply the carry-down value by the zero of the denominator, and carry the result up into the next column:

4(−54 )=−5

−54 ¦ 4 −7 −11 5

¦ −5

Add down the column:

−7−5=−12

−54 ¦ 4 −7 −11 5

¦ −5

4 −12

Multiply the carry-down value by the zero of the denominator, and carry the result up into the next column:

(−12)(−54 )=15

−54 ¦ 4 −7 −11 5

¦ −5 15

4 −12

Add down the column:

−11+15=4

−54 ¦ 4 −7 −11 5

¦ −5 15

4 −12 4

Multiply the carry-down value by the zero of the denominator, and carry the result up into the next column:

4(−54 )=−5

−54 ¦ 4 −7 −11 5

¦ −5 15 −5

4 −12 4

Add down the column:

5−5=0

−54 ¦ 4 −7 −11 5

¦ −5 15 −5

4 −12 4 0

The last carry-down value is the remainder

Write the result in polynom format

4x²−12x+4

Divide the result by the denominator factor

4x²−12x+44

Simplify 4x²−12x+44 : x²−3x+1

x²−3x+1

Examples

Popular topics

median calculator dot product calculator arc length calculator maclaurin series calculator z score calculator critical point calculator inequalities calculator range calculator determinant calculator second derivative calculator lcm calculator partial derivative calculator complete the square calculator distributive property calculator mixed fractions calculator Time Calculator gradient calculator triple integrals calculator partial fractions calculator indefinite integral calculator solve for x calculator double integral solver vector calculator Date Calculator vertex calculator binomial expansion calculator decimal to fraction calculator difference quotient calculator eigenvalue calculator piecewise functions calculator radius of convergence calculator roots calculator exponential function calculator interval of convergence calculator fractions divide calculator inflection point calculator expand calculator variance calculator fractions multiply calculator fourier series calculator foil calculator modulo calculator series convergence calculator linear algebra calculator

Chat with Symbo

Hi, ask a question about synthetic division 4x³−7x²−11x+54x+5

Cooking Calculators

Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter More calculators

Fitness Calculators

BMI Calculator Calorie Calculator BMR Calculator More calculators

Notebook

View Full Notebook

−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

руффини метод (4x^3-7x^2-11x+5)/(4x+5)

Solution

Solution steps

Number Line