Question

If 4x² – 6x – m is divisible by x – 3, the value of m is exactly divisible by

Answer 1

Answer:

value of m is 18.

Step-by-step explanation:

x-3=0

x=3

x^2=9

4×(x^2)-6×x-m=0

4×9-18-m=0

36-18-m=0

18=m

Answer 2

Answer:

m = 18.

Step-by-step explanation:

Given :

$(4 {x}^{2} - 6x - m) \\ \: \: \: is \: divisible \: by \: (x - 3).$

By Factor-theorem, if a polynomial f(x) is divisible by (ax + b), then,

$f( - \frac{b}{a} ) = 0$

Here, f(3) = 0.

Therefore, put x = 3 in the given expression and equate it zero to get the value of m.

$4 \times {3}^{2} - 6 \times 3 - m = 0 \\ => 4 \times 9 - 18 - m = 0 \\ => 36 - 18 - m = 0 \\ => m \: = 18$

Hence, m = 18.