## 6 Remainder theorem questions with answer {worksheet}

In this post, you will get the remainder theorem worksheet with solutions and explanations as well. Q.1 Find the remainder (i) when p(x) = x³-ax²+6x-a is divided by (x-a) (ii) When f(x)=x³-6x²+2x+4 is divided by g(x) = 1-3x Solution: (i) Remainder is 5a (ii) Remainder is =() Explanation: (i) Using the remainder theorem,  we know … Read more

## 5 Algebraic expression extra question with solution

Here, you will get the extra question for algebraic expression class 9 with the solution and explanation Q.1 Factorize each of the following algebraic expression (i) – (ii) +4 (iii) – Answer : (i) (x-y)(x+y)(x²+y²)(x²+y²-√2 xy )(x²+y²+√2 xy) (ii) (x²-2x+2)(x²+2x+2) (iii) (x-y)(x²+xy+y²)(+x³y³+) Explanation: (i) We have , -= -= -={(x²)²-(y²)²}(+) -=(x²-y²)(x²+y²)(+) -=(x-y)(x+y)(x²+y²)(+) -=(x-y)(x+y)(x²+y²){(x²)²+(y²)²+2x²y²-2x²y²} -=(x-y)(x+y)(x²+y²){(x²+y²)²-(√2xy)²} -=(x-y)(x+y)(x²+y²)(x²+y²-√2 … Read more

## Algebraic expression class 9 extra question with solution

These are some extra question of algebraic expression class 9 which you can use as practice , Q.1 If x²+=27 ,find the values of each of the following  (i) x+ (ii) x- Solution:(i) ±√29 Solution:(ii) ± 5 Explanation(i) We have (x+)²=x²+2×x×+ (x+)²=x²++2 Since it is given that , x²+=27 So, (x+)²=27+2 (x+)²= 29 So, x+=±√29 … Read more

## Algebraic Identities for class 9

Introduction we have already studied about algebraic expressions their addition ,subtraction ,multiplication and division .when we multiply binomial(Algebraic Expressions having two terms),we obtained the following results which is algebraic identities because it is true for all values of a and b i.e LHS=RHS (a+b)(a+b)=a²+2ab+b²             (a-b)(a-b)=a²-2ab+b²         … Read more