MyCBSEguide AppScore 90+ in your ExamsCBSE Sample Papers, Test Papers, MCQ Tests & more.NCERT Solutions for Class 9 Maths Exercise 2.4 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam.
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CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 9 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.NCERT solutions for Class 9 Maths PolynomialsNCERT Solutions for Class 9 Maths Polynomials 1. Determine which of the following polynomials has a factor:(i)(ii)(iii)(iv)Ans.
(i)While applying the factor theorem, we get=-1+1-1+1=0We conclude that on dividing the polynomial by, we get the remainder as0.Therefore, we conclude that is a factor of. (ii)While applying the factor theorem, we get=1-1+1-1+1=1We conclude that on dividing the polynomial by, we will get the remainder as1, which is not 0.Therefore, we conclude that is not a factor of. (iii)While applying the factor theorem, we get=1-3+3-1+1=1We conclude that on dividing the polynomial by, we will get the remainder as 1, which is not 0.Therefore, we conclude that is not a factor of.
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(iv)While applying the factor theorem, we getWe conclude that on dividing the polynomial by, we will get the remainder as, which is not 0.Therefore, we conclude that is not a factor of.NCERT Solutions for Class 9 Maths Exercise 2.4 2. Use the Factor Theorem to determine whether g( x) is a factor of p( x) in each of thefollowing cases:(i)(ii)(iii)Ans.
(i)We know that according to the factor theorem,We can conclude that g(x) is a factor of p(x), if p(-1)=0.=2+1-1-2=0 Therefore, we conclude that the g(x) is a factor of p(x). (ii)We know that according to the factor theorem,We can conclude that g(x) is a factor of p(x), if p(-2)=0.=-8+12-6+1=-1Therefore, we conclude that the g(x) is not a factor of p(x). (iii)We know that according to the factor theorem,We can conclude that g(x) is a factor of p(x), if p(3)=0.=27-36+3+6=0Therefore, we conclude that the g(x) is a factor of p(x).NCERT Solutions for Class 9 Maths Exercise 2.4 3. Find the value of k, if x – 1 is a factor of p( x) in each of the following cases:(i)(ii)(iii)(iv)Ans. (i)We know that according to the factor theorem.We conclude that if is a factor of, then.orTherefore, we can conclude that the value of k is.(ii)We know that according to the factor theorem.We conclude that if is a factor of, then.orTherefore, we can conclude that the value of k is.(iii)We know that according to the factor theorem. We conclude that if is a factor of, then.orTherefore, we can conclude that the value of k is.(iv)We know that according to the factor theoremis a factor of p(x)We conclude that if is a factor of, then.orTherefore, we can conclude that the value of k is.NCERT Solutions for Class 9 Maths Exercise 2.4 4. (i)Therefore, we conclude that on factorizing the polynomial, we get.(ii)Therefore, we conclude that on factorizing the polynomial, we get.(iii)Therefore, we conclude that on factorizing the polynomial, we get.(iv)Therefore, we conclude that on factorizing the polynomial, we get.NCERT Solutions for Class 9 Maths Exercise 2.4 5.
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