Common factor in a quadratic polynomial x2 + 8x + 15 and x2 + 3x – 10 is ?
Given: x2 + 8x + 15 = 0
x2 + 3x – 10 = 0
Solving the other two equations by subtracting;
⇒ 8x – 3x + 15 + 10 = 0
⇒ 5x + 25 = 0
⇒ x + 5 = 0
⇒ x = – 5
x = – 5 is the common factor.
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