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ANTONII [103]
3 years ago
9

If x+2 is a factor of the polynomial: 3x²+kx, then the value is​

Mathematics
1 answer:
Simora [160]3 years ago
3 0

Answer:

k = 6

Step-by-step explanation:

(x+2) is a factor of 3x²+kx so if we solve (x+2) = 0 that will give us one of the solutions of x for 3x²+kx = 0, and then we can substitute that solution in and find the value of k.

So to find a solution, (x+2) = 0 and therefore x = -2

Now substitute x = -2 into 3x²+kx = 0

so 3(-2)²+k(-2) = 0

12 - 2k = 0

2k = 12

k = 6

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