Which of the following describes the roots of the polynomial function mc008-1.jpg

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 305 People

Please help, need answer fast!
Which of the following describes the roots of the polynomial function f(x)= (x + 2)^2(x - 4)(x + 1)^3?

–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3
–2 with multiplicity 3, 4 with multiplicity 2, and –1 with multiplicity 4
2 with multiplicity 2, –4 with multiplicity 1, and 1 with multiplicity 3
2 with multiplicity 3, –4 with multiplicity 2, and 1 with multiplicity 4

Answered by maham237 @ 22/12/2020

Multiplicity of a polynomial means how many times a particular number is a zero for a given polynomial.

In the given polynomial :

$f(x)=(x+2)^{2} (x-4)(x+1)^{3}$

The roots of the equation can be found by taking the factor =0.

x+2=0 or x=-2

x-4=0

or x=4

x+1=0

or x=-1

The roots of the polynomial are -2,4,-1.

The powers of the root denotes the multiplicity of the polynomial.

The root -2 occurs 2 times ,4 occurs once ,-1 occurs 3 times.

So we say :–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3.

Option A is the right option.

Which of the following describes the roots of the polynomial function mc008-1.jpg

Similar Questions

Which of the following describes the roots of the polynomial function mc008-1.jpg?

Which of the following describes the roots of the polynomial function ?

Which of the following describes the management function of planning

Which of the following describes the nervous system integrative function

Which of the following describes a function of a vacuole

Which of the following describes the function of a neuron

Which of the following ratios correctly describes the sine function

Which of the following ratios correctly describes the cosine function

Which of the following are polynomial functions

Which of the following functions best describes this graph

Which of the following describes the function x3 − 8?

Which of the following is a polynomial with roots 5, −6, and 7?

Which of the following is a polynomial with roots 4, −5, and 7?

Which of the following statements best describes the structure and function of a carbohydrate?

Which of the following statements correctly compares the functions of a plant's roots and stem?

Most viewed questions in Mathematics

Unit 6 similar triangles homework 2 similar figures answer key

All things algebra unit 7 polygons and quadrilaterals answer key

Gina wilson all things algebra 2016 answer key unit 11

Unit 1 geometry basics homework 4 angle addition postulate answers

Unit 6 exponents and exponential functions homework 8 answer key

The manager of a vacation resort believes that the ages

What is 271 403 rounded to the nearest ten thousand

Unit 1 geometry basics homework 3 angle relationships answer key

Homework 2 parallelograms

Why would a prism beat a sphere in a competition?

John wants to send a letter to peter

An artist sells a painting for 20.50 but uses 5.75

Unit 4 congruent triangles homework 1 classifying triangles answer key

Unit 4 congruent triangles homework 2 angles of triangles

Compare the values of the 2s and 5s in 55220