Question

If 4$x^{2}$-6$x$-m is divisible by $x$-3, the value of m is the exact divisor of:
a) 9
b) 45
c) 20
d) 36

Answer 1

Answer:

if the given polynomial is exactly divisible by x-3

then the remainder is equal to 0..

4x² -6x -m

put the value of x i.e. 3 in the polynomial

we get

4(3)² -6(3) -m = 0

36 -18 -m = 0

m = 18

and 18 is exactly divisor of 36.

so the correct answer is option d i.e. 36..