Alvin is heating a solution in his chemistry lab. The temperature of the solution starts at 14°C. He turns on the bumer and find
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
<h3>Polynomial:</h3>p(x) = ax³ + bx + x
Let g(x) = x² + kx + 1 .
g(x) is a factor of p(x). So, p(x) is divided by g(x), the remainder will be 0.
Divide p(x) by g(x) using long division method. {attached as an image}.
By doing long division, we get the remainder.
Remainder = bx - ax + k²ax + ka + c
= (b - a + k²a)x+ [ka + c]
Remainder = 0
b - a + k²a = 0 and ka + c = 0
ka + c = 0
ka = -c
k = -c/a ----------------(I)
b - a + k²a = 0
ab = a² - c²
Hence, proved.
