Question

For the polynomial P(x) = x2 – 4mx − 3, If it is given that P (–3) =12, then the value of m is:

Answer 1

m=1/2

Explanation:

We are given:

P(x)=x²-4mx-3

and P(-3)=12

we have to solve for m.

Since P(-3), this means we have to substitute -3 for every x in the equation.

P(-3)=3²-4m(-3)-3

simplify

P(-3)=9+12m-3

simplify

P(-3)=12m+6

Bring in what P(-3) equals

12=12m+6

subtract 6 from both sides

6=12m

divide both sides by 12

1/2=m

So, m=1/2.

Hope this helps! :)

Answer 2

m =
`(1)/(2)`

Explanation:

given P(- 3) = 12, then

substitute x = - 3 into P(x) and equate to 12 , that is

(- 3)² - 4m(- 3) - 3 = 12

9 + 12m - 3 = 12

6 + 12m = 12 ( subtract 6 from both sides )

12m = 6 ( divide both sides by 12 )

m =
`(6)/(12)` =
`(1)/(2)`