I. Find, in cach case, the remainder when| 10. Find the value of a, if the division of ae +x-3r+2x +1 is divided by -1i)3-12 +4 is divided by x -2.(an) a +1 is divided by x + 1+4x -10 by x +3 leaves a remainder 5Irax'+bx+6 has x 2 as a factorand leaves a remainder 3 when divided byx-3, find the values of a and iI2. Show that0) x - 2 is a factor of Sx +15x 50(ii) 3x + 2 is12005)12. The expression 2x'+axbx 2 leavesfactor of 3r2-x-2.remainder 7 and o when divided by2x 3 and x + 2 respectively. Calculate thevalues of a and b3. Use the Remainder Theorem to fad which ofthe folkowing is a factor of 2+Sx-13. What number should be added to3x3 -5x2 6x o that when resulting3, the remainder(in) x +2polynomial is divided byİs 8 ?4. (i) If 2x + l is a factor of 2r + ar-3. findax-3, find(ii) Find the value of k, if 3x-4 is a factor5. Find the values of constants a and b whenthe value of a.A-what number should be subtracted from+3 -8x +14 so that on dividing it hyx 2, the remainder is 10 ?of expression 32t -k15. The polynomials 2x 7x2 +ax 6 and2 and x 3 both are the factors of6. Find the value of k, if 2x+1 is a factor of7. Find the value of a, if x 2 is a factor ofr3 -82+(2a +1)x 16 leave the sameremainder when divided by x -2. Find thevalue of 'aexpression x+a +bx 12(3k +2) + (k 1).If (x 2) is a factor of the expression2x ax bx - 14 and when the expressionis divided by (x -3), it leaves a remainder 52,8. Jand the values of m and n so that x 1 andfind the values of a and2013]x +2 both are factors ofFind 'a if the two polynomials ae+3x2- 9and 2x +4x +a, leave the same remainderx (3m)x+nx -189 When+22 -kr+4 is divided by x 2, thewhen divided by x + 312015)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 theorem)When expression f(x) is divided by x-a, the remainder =fa).If the remainder fa) = 0x-a is a factor of expression f(x),20 I 8-7-23 1 3:47