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Kathy Bryan
Mathematics
10 January, 15:49
Factor completely: 3d^2 + d - 10.
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Daria
10 January, 16:05
0
The answer to your question is (d + 2) (3d - 5)
Step-by-step explanation:
3d² + d - 10
Multiply the first term (3) by the third (-10) = 3 x - 10 = - 30
Find the prime factors of - 30
-30 2
-15 3
-5 5
1
Then, - 30 = 2 x 3 x 5
Find two numbers that added gives + 1 and multiply gives - 30. These numbers are 6 (2 x 3) and - 5
Write the mid term as the addition of the numbers got.
1d = 6d - 5d
Write the polynomial as these terms
3d² + 6d - 5d - 10
Factor by grouping 3d (d + 2) - 5 (d - 2)
Factor by grouping again (d + 2) (3d - 5)
Now, the polynomial is factor completely.
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