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Find the value of “x” in the polynomial 2a 2 + 2xa + 5a + 10 if (a + x) is one of its factors.

Find the value of “x” in the polynomial 2a2 + 2xa + 5a + 10 if (a + x) is one of its factors.

 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
9 months ago
Dear Student

Say, f(a) = 2a^2+ 2xa + 5a + 10

Since, (a + x) is a factor of 2a^2+ 2xa + 5a + 10,
f(-x) = 0

So, f(-x) = 2x^2– 2x^2– 5x + 10 = 0

Or, -5x + 10 = 0

Thus, x = 2

Thanks

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