Q:

if m(-12) =0 is the result of M(x) using the reminder theorem then what do -12 and 0 represent?

Accepted Solution

A:
Suppose we wish to determine whether or not two given polynomials with complex coefficients have a common root. Given two first-degree polynomials a0 + a1x and b0 + b1x, we seek a single value of x such thatSolving each of these equations for x we get x = -a0/a1 and x = -b0/b1 respectively, so in order for both equations to be satisfied simultaneously we must have a0/a1 = b0/b1, which can also be written as a0b1 - a1b0 = 0. Formally we can regard this system as two linear equations in the two quantities x0 and x1, and write them in matrix form asHence a non-trivial solution requires the vanishing of the determinant of the coefficient matrix, which again gives a0b1 - a1b0 = 0.Now consider two polynomials of degree 2. In this case we seek a single value of x such thatHope this helped, Hope I did not make it to complatedPlease give me Brainliest