(i) let us assume ‘p’ be subtracted from 2 x^{2}-5 x Show
So, dividing 2 x^{2}-5 x by 2x + 1. \begin{array}{c} 2 x+1) 2 x^{2}-5 x-p(x-3 \\ 2 x^{2}+x \\ \frac{-}{-6 x-p} \\ -6 x-3 \\ \frac{+}{-p+3} \end{array} Hence, remainder is 3 – p From the question, it is given that, the remainder is 2. 3 – p = 2 p = 3 – 2 p = 1 Therefore, 1 is to be subtracted. (ii) let us assume ‘p’ be subtracted from 2 x^{3}-7 x^{2}+2 x, So, dividing it by 2x – 3, \begin{array}{c} 2 x-3) 2 x^{3}-7 x^{2}+2 x+p\left(x^{2}-2 x-2\right. \\ 2 x^{3}-3 x^{2} \\ \frac{-1}{-4 x^{2}+2 x} \\ -4 x^{2}+6 x \\ +\frac{-}{-4 x+p} \\ -4 x+6 \\ \frac{+}{2-6} \end{array} Hence, remainder is p – 6 From the question it is given that, remainder is - 2. P – 6 = - 2 P = -2 + 6 P = 4 Therefore, 4 is to be added. Sum What number should be added to 3x3 – 5x2 + 6x so that when resulting polynomial is divided by x – 3, the remainder is 8? Advertisement Remove all ads SolutionLet the numbw-er k be added and resulting polnomic be f(x). So, f(x) =`3x^3+5x^2+6x+k` it is given that when f(x)is dividing by (x-3), the remainder is 8. ∴ f(3)=8 `3(3)^3-5(3)^2+6(3)+k=8` `81-45+18+k=8` `54+k=8` `k=-46` Thus, the required number is -46. Concept: Remainder Theorem Is there an error in this question or solution? Advertisement Remove all ads Chapter 8: Remainder and Factor Theorems - Exercise 8 (A) [Page 109] Q 13Q 12Q 14 APPEARS INSelina Concise Maths Class 10 ICSE Chapter 8 Remainder and Factor
Theorems Video TutorialsVIEW ALL [2]
Advertisement Remove all ads Sum What number must be added to 2x3 – 7x2 + 2x so that the resulting polynomial leaves the remainder – 2 when divided by 2x – 3? Advertisement Remove all ads SolutionLet a be added to 2x3 – 7x2 + 2x dividing it by 2x – 3, then `2x -
3")"overline(2x^3 - 7x^2 + 2x + a)"(x^2 - 2x - 2` Concept: Remainder Theorem Is there an error in this question or solution? Advertisement Remove all ads Chapter 6: Factorization - Exercise 6.1 Q 7.2Q 7.1Q 8.1 APPEARS INML Aggarwal Understanding ICSE Mathematics Class 10 Solved Chapter 6 Factorization Video TutorialsVIEW ALL [2]
Advertisement Remove all ads
Course NCERT Class 12Class 11Class 10Class 9Class 8Class 7Class 6 IIT JEE Exam JEE MAINSJEE ADVANCEDX BOARDSXII BOARDS NEET Neet Previous Year (Year Wise)Physics Previous YearChemistry Previous YearBiology Previous YearNeet All Sample PapersSample Papers BiologySample Papers PhysicsSample Papers Chemistry Download PDF's Class 12Class 11Class 10Class 9Class 8Class 7Class 6 Exam CornerOnline ClassQuizAsk Doubt on WhatsappSearch DoubtnutEnglish DictionaryToppers TalkBlogJEE Crash CourseAbout UsCareerDownloadGet AppTechnothlon-2019 Logout Login Register now for special offers +91 Home > English > Class 10 > Maths > Chapter > Remainder And Factor Theorems > Which number should be added ... Updated On: 27-06-2022 UPLOAD PHOTO AND GET THE ANSWER NOW!  Text Solution Answer : `f(x)=x^2-5x+6` Answer Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. Related Videos643657912 0 1.9 K 2:37 What number should be added to `2x^3 - 3x^2 - 8x + 3` so that the resulting polynomial leaves the remainder 10 when divided by 2x + 1 ? 643656778 0 8.1 K 1:50 What number should be added to `3x^3-5x^2+6x` so that when resulting polynomial is divided by x -3. the remainder is 8? 648709145 53 5.6 K What number should be added to the polynomial ` 2x^(3) - 3 x^(2) - 8 x` is that the resulting polynomial leaves the remainder 12 when divided by 2 x + 1 ? 644445077 0 7.2 K 2:34 What number should be added to `x^(3)-9x^(2)-2x+3` so that the remainder may be 5 when divided by `(x-2)` ? 217281615 100 6.3 K The remainder obtained when the polynomial `x^(3)-3x^(2)+2x-3` is divided by x-2 is 643656802 0 6.9 K 2:46 Find the number which should be added to `x^2+ x +3` so that the resulting polynomial is completely divisible by (x + 3). Show More Comments Add a public comment... Follow Us: Popular Chapters by Class: Class 6 AlgebraBasic Geometrical IdeasData HandlingDecimalsFractions Class 7 Algebraic ExpressionsComparing QuantitiesCongruence of TrianglesData HandlingExponents and Powers Class 8 Algebraic Expressions and IdentitiesComparing QuantitiesCubes and Cube RootsData HandlingDirect and Inverse Proportions Class 9 Areas of Parallelograms and TrianglesCirclesCoordinate GeometryHerons FormulaIntroduction to Euclids Geometry Class 10 Areas Related to CirclesArithmetic ProgressionsCirclesCoordinate GeometryIntroduction to Trigonometry Class 11 Binomial TheoremComplex Numbers and Quadratic EquationsConic SectionsIntroduction to Three Dimensional GeometryLimits and Derivatives Class 12 Application of DerivativesApplication of IntegralsContinuity and DifferentiabilityDeterminantsDifferential Equations Privacy PolicyTerms And Conditions Disclosure PolicyContact Us What number should be added to 2x³ 3x² X so that when the resulting polynomial is divided by x 2 The remainder is 3?Answer: 7 must be added.
What number must be added to 2x³ − 7x² 2x so that the resulting polynomial leaves the remainder − 2 when divided by 2x − 3?Answer. Hence, 4x-2 is added to the given polynomial p(x) to leave the remainder=(-2).
What must be added to polynomial 2x3 9x2 5x 15 so that the resulting polynomial is exactly divisible by 2x 3?Expert-verified answer
-6 must be added to the polynomial so that the resulting polynomial is exactly divisible by .
What must be added to the polynomial 2x3 3x2 8x?So, The no. is 7.
|
