Q.1//Ifx' + kx + 6 = (X + 2)(x + 3) for all x, the value of k is(A) 1(

1.	Q.1//Ifx' + kx + 6 = (X + 2)(x + 3) for all x, the value of k is(A) 1(B) -1(C) 5(D) 30.2(x)= 2x4-3r + 2x2 + 2x-1 is divided by (x-2) and q(x)-3x3-2x2 + x-1is divided by (x-1). So, twice the sum of the remainders is:
Answer» Using reminder theorm the reminder of p(x) , when divided by x-2 ( when x=2) p(2) = 2*(2)⁴-3(2)³+2(2)²+2(2)-1 = 32-24+8+4-1 = 19 and similarly q(1) = 3-2+1-1 = 1 so, twice the sum is = 2(19+1) = 40

Q.1//Ifx' + kx + 6 = (X + 2)(x + 3) for all x, the value of k is(A) 1(B) -1(C) 5(D) 30.2(x)= 2x4-3r + 2x2 + 2x-1 is divided by (x-2) and q(x)-3x3-2x2 + x-1is divided by (x-1). So, twice the sum of the remainders is:

Answer»

Using reminder theorm

the reminder of p(x) , when divided by x-2 ( when x=2)

p(2) = 2*(2)⁴-3(2)³+2(2)²+2(2)-1 = 32-24+8+4-1 = 19

and similarly q(1) = 3-2+1-1 = 1

so, twice the sum is = 2(19+1) = 40