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FrozenT [24]
2 years ago
5

Find all positive and negative integers b such that x2 +bx+6 factors

Mathematics
1 answer:
kumpel [21]2 years ago
4 0

Answer:

b = - 5 , - 7 , 5 , 7

Step-by-step explanation:

Standard quadratic equation is of the form :

ax² + b x + c , where b = p + q and c = pq

Where p and q are factors of c.

Therefore , we will consider the factors of 6.

Factors of 6 = ( -1 , -6 ) , ( -2 , -3 ) , ( 1, 6 ) , ( 2 , 3)

x² + bx + 6

b = p + q

So, b = - 7 , -5, 7 , 5

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