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Learn how to solve problems using the remainder theorem. Revise the right steps to factorise a given expression by practising with our Selina solutions. Get the necessary self-study materials to score high marks in your Maths exam at TopperLearning. Find, in each case, the remainder when:. By remainder theorem we know that when a polynomial f x is divided by x - a, then the remainder is f a.

Show that:. Thus, 2x - 1 is not a factor of the polynomial f x. Adding 1 and 2we get. Putting the ch 10 maths class 10 theorems mac of a in 1we get. Putting the value of m in 1we get. Find the value of constant k. On dividing f x by x - 2, it leaves a remainder k. On dividing f x by x - 3, it leaves a remainder 3. Subtracting i from iiwe get.

Substituting the value of a in iwe get. Calculate the values of a and b. On dividing f x by 2x - 3, it leaves a remainder 7. Adding i and iiwe get.

Let the number k be added and the resulting polynomial be f x. It is given that when f x is divided by x - 3the remainder is 8. Thus, the required number is Let the number to be subtracted be k and the resulting polynomial be f ch 10 maths class 10 theorems mac. It is given that when f x is divided by x - 2the remainder is Thus, the required number is 8.

Find the value of 'a'. By the given ch 10 maths class 10 theorems mac, we have:. Thus, the value of a is Using the Factor Theorem, show that:. Hence, x - 2 is a factor of f x. Now, we have:. Using the Remainder Theorem, factorise each of the following completely. Hence, find all the factors of f x. Subtracting ii from iwe get. Substituting the value of a in iiwe get. Calculate the values of b and c. Hence, factorise the expression completely.

It is given that when f x is divided by 2x - 3the remainder is Multiplying i by 4 and subtracting it from iiwe get. Substituting the value of b in iwe get.

From i and iiwe get. Hence, proved. Find the value of a. It is given that x - a is a factor of f x. Let the number to be ch 10 maths class 10 theorems mac from the given polynomial be k. Hence, completely factorise the given expression. Hence, x - 1 is a factor of f x. Using Remainder Theorem, factorise :. Find the value of m. According to the given information.

Let the required number be k. And then, factorise the given expression ch 10 maths class 10 theorems mac. Since, x - 2 is a factor of f x. It is given that:. It is given that f x and g x leave the same remainder when divided by x - 2.

Therefore, we have:. Also, for these values of p and q factorize the given polynomial completely. Substituting the value of q in iwe get. Given that f x is completely divisible by x 2 - 1. Using i and iiwe get. Find the value of 'a', factorise the given polynomial completely. Find the value of 'p'.

Use the Remainder Theorem to factorise the following expression:. Factors of constant term 6 are 1, 2, 3, 6. Hence x - 2 is a factor of f x. Using Ch 10 maths class 10 theorems mac Theorem, we. Let the number subtracted be k from the given polynomial f x. Enter the OTP sent to your number Change. Resend OTP.

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NCERT Class 10 Maths Circles. The chapter 10 on Circles begins with the introduction of the relationship with a line and a circle. Then the concept of tangents to a circle and a theorem on the relationship between a tangent and the radius of the circle is presented. Different cases of the number of tangents that can be drawn to a circle and. NCERT Solutions for Class 10 Maths PDF Updated for Session. The solution list comprises all the chapter-wise answers to the questions present in the NCERT Book for Class 10 Maths written in a very precise and lucid manner, maintaining the objective of textbooks. The students can refer to the NCERT Solutions for Class 10 as their additional references and study materials. NCERT Solutions for Class 10 Maths Chapter 10 Circles are prepared after thorough research by highly experienced Maths teachers, at BYJU�S. This study material is very important for your Class 10 board exam preparation. We have provided step by step answers to all the questions provided in the NCERT class 10 Maths textbook. This solution is free to download and the questions are.

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