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
Hope this helped, Hope I did not make it to complated
Please give me Brainliest
Answer:
the second one +1.5 m/s
Step-by-step explanation:
to find the velocity you need to find the slope of the two points then just put it into the time (s) and position (m) terms which equals +1.5 m/s
Answer:
406 meters squared
Step-by-step explanation:
14 times 5= 70 (Section 1)
21 times 16= 336 (Section 2)
(Combine Sections 1 and 2)
336 + 70= 406
*I'm not 100% certain that this is correct, but I'm pretty sure it is*
Answer:
The slope is 2
Explanation:
The equation is written in y=mx+b
M would always be the slope and b the y intercept
Hope this helps!!
Answer:
The answer is A
Step-by-step explanation:
1 to the second power is 1 + 1 = 2
2 to the second power is 4 + 1 = 5
3 to the second power is 9 + 1 = 10
4 to the second power is 16 + 1 = 17
5 to the second power is 25 + 1 = 26
