Answer:
The remainder is -2.
Step-by-step explanation:
According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (<em>x</em> - <em>a</em>), then the remainder of the operation will be given by P(a).
Our polynomial is:
And we want to find the remainder when it's divided by the binomial:
We can rewrite our divisor as (<em>x</em> - (-1)). Hence, <em>a</em> = -1.
Then by the PRT, the remainder will be:
The remainder is -2.
Given:
The equation is,
Explanation:
Simplify the equation by using logarthimic property.
Simplify further.
Solve the quadratic equation for x.
From the above equation (x - 6) = 0 or (x - 3) = 0.
For (x - 6) = 0,
For (x - 3) = 0,
The values of x from solving the equations are x = 3 and x = 6.
Substitute the values of x in the equation to check answers are valid or not.
For x = 3,
Equation satisfy for x = 3. So x = 3 is valid value of x.
For x = 6,
Equation satifies for x = 6.
Thus values of x for equation are x = 3 and x = 6.