EXERCISE 8(A)I. Find, in each case, the remainder when10. Find the value of a, if the division of ax' +-3+2x+1 is divided by 19+4x-10 by x+3 leaves a remainder 5.i)3- 12x + 4 is divided by x -2. 11Iaxbe+6 hasGin +1 is divided by-2 as a factorand leaves a remainder 3 when divided byx-3, find the values of a and ib.2. Show that[200510) x-2 is a factor of 5x + 15x 50Gii) 3x + 2 is a factor of 3x-x-22 leaveswhen divided by12. The expression 2x +ax bx3. Use the Remainder Theorem to Sad which of2x-3 and x+ 2 respectivelyremainder 7 andvalues of a and b.the follgwing is a factor of 2+3-5x-6(ii) 2x -113. What number should be added to3x,-5x2 + 6x so that when resulting4. 0) If 2x +1 is a factor of 2x +ax-3, findpolynomial is divided by x -3, the remainderis 8 ?the value of aWhat number should be subtracted fromx-2, the remainder is 10 ?G) Find the value of k, if 3x - 4 is a facrof expression 3x2+ 2x -k5. Find the values of constants a and b whenx 2 and x+3 both are the factors of 15, The polynomials 2x3 -x2+ax 6 andexpression x+a+ bx 126. Find the value of k, if 2x+1 is a factor ofx3-8x2+ (2a +1)x 16 leave the sameremainder when divided by x -2. Find thevalue of 'a'(3k +2) + (k - 1)7 Find the value of a, if. If ( 2) is a factor of the expression-2 is a factor ofa2r +ax2 +bx -14 and when the expressionis divided by (x -3), it leaves a remainder 528 End the values of m and n so that x- I and find the values of a and b.12013]x + 2 both are factors ofFind 'a' if the two polynomials a +3x2 -9r (3m+ 1)x2 +nx- 18.and 2x3 + 4x + a, leave the same remainder9Whenx+2.2-Kx+4 is divided by x -2, the when divided by x + 3.(2015)remainder is k. Find the value of constant k8.4 Using the Factor Theorem to factorise the given polynomialFactorising a polynomial completely after obtaining one factor by factor theoremWhen expression fx) is divided by x - a, the remain20-87-28 13:44