Question 28

The factors of polynomial $$x^{3}-6x^{2}+11x-6$$ are:

Solution

$$x=1$$ will make the polynomial $$x^{3}-6x^{2}+11x-6=0$$. Thus, $$x-1$$ is a factor of the given polynomial, so we will divide the given polynomial by this factor. Thus, we will get

$$x^{3}-6x^{2}+11x-6=(x-1)(x^2-5x+6)$$

$$x^{3}-6x^{2}+11x-6=(x-1)(x-2)(x-3)$$

Thus, the factors of the given polynomial are $$x-1$$, $$x-2$$, and $$x-3$$.

View More Questions From Quadratic Equations

MAT Quant Questions | MAT Quantitative Ability

MAT Linear Equations Questions MAT Profit And Loss Questions MAT Time And Work Questions MAT Averages Mixtures Alligations Questions MAT Progressions and Series Questions MAT Simple Interest Compound Interest Questions MAT Geometry Questions MAT Inequalities Questions MAT Percentages Questions MAT Coordinate Geometry Questions MAT Arithmetic Questions MAT Time, Speed and Distance Questions MAT Number Series Questions MAT Data Sufficiency Questions MAT Mensuration Questions MAT Remainders Questions MAT Logarithms, Surds and Indices Questions MAT Profit and Loss Questions MAT Number Systems Questions MAT Averages Questions MAT Quadratic Equations Questions MAT Functions, Graphs and Statistics Questions MAT Probability, Combinatorics Questions MAT Algebra Questions MAT Logarithms Questions MAT Venn Diagrams Questions MAT Time Speed Distance Questions MAT Averages, Ratio and Proportion Questions

MAT DILR Questions | LRDI Questions For MAT

MAT Arrangement Questions MAT Quant Based DI Questions MAT Selection With Condition Questions MAT Games and Tournamnents Questions MAT Venn Diagrams Questions MAT Charts Questions MAT DI Miscellaneous Questions MAT Data change over a period Questions MAT 2D & 3D LR Questions MAT Special Charts Questions MAT Table based DI Sets Questions MAT DI with connected data sets Questions MAT Coins and Weights Questions MAT Data Interpretation Questions MAT Truth Lie Concept Questions MAT Maxima-Minima Questions MAT Quant Based LR Questions MAT Routes And Networks Questions MAT Miscellaneous LR Questions MAT Scheduling Questions MAT Puzzles Questions MAT Data Interpretation Basics Questions

MAT Verbal Ability Questions | VARC Questions For MAT

MAT Verbal Ability Questions MAT Critical Reasoning Questions MAT Odd One Out Questions MAT Grammar and Sentence Correction Questions MAT Para Summary Questions MAT Reading Comprehension Questions MAT Vocabulary Questions MAT Miscellaneous Questions MAT Para Jumbles Questions

Free MAT Topicwise Questions

MAT Venn Diagrams

MAT Linear Equations

MAT Profit and Loss

MAT Reading Comprehension

MAT Selection With Condition

MAT Games and Tournamnents

MAT DI Miscellaneous

MAT Coordinate Geometry

MAT Inequalities

MAT Profit And Loss

MAT Data Sufficiency

MAT Progressions and Series

MAT Simple Interest Compound Interest

MAT Special Charts

MAT Functions, Graphs and Statistics

MAT Number Series

MAT Logarithms, Surds and Indices

MAT Critical Reasoning

MAT Grammar and Sentence Correction

MAT Data Interpretation

MAT Quant Based LR

MAT Probability, Combinatorics

MAT Truth Lie Concept

MAT Number Systems

MAT Routes And Networks

MAT Quadratic Equations

MAT Miscellaneous LR

MAT Data Interpretation Basics

MAT Venn Diagrams

MAT Quant Based DI

MAT Para Summary

MAT DI with connected data sets

MAT Data change over a period

MAT Averages, Ratio and Proportion

MAT Arrangement

MAT Miscellaneous

MAT Percentages

MAT Mensuration

MAT Averages Mixtures Alligations

MAT Coins and Weights

MAT Time And Work

MAT Ssc Reasoning

MAT Time, Speed and Distance

MAT Maxima-Minima

MAT Verbal Ability

MAT Table based DI Sets

MAT Para Jumbles

MAT Odd One Out

MAT Time Speed Distance