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 that
Solving 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 as
Hence 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 that
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Answer:
39 ft²
Step-by-step explanation:
11 ft × 3 ft = 33 ft²
2 ft × 3 ft = 6 ft²
33 ft² + 6 ft² = 39 ft²
Answer:they are the same shape but not necessarily same size they are not congruent bc that require them to be the same size which they're not unless the scale factor is
1.0
Step-by-step explanation:
Answer:
c+15
Step-by-step explanation:
add the numbers c+15
c+15 is your answer.
