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Find the value of ? in the polynomial 2? 2 + 2?? + 5? + 10 if (? + ?) is one of its factors.

Posted by Priya ✧*｡٩(๑˙╰╯˙๑)و✧*｡ 5 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Priya ✧*｡٩(๑˙╰╯˙๑)و✧*｡ 5 years, 1 month ago

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Sawan Goja 5 years, 1 month ago

Let f(a) = 2a2 + 2xa + 5x + 10 As (a + x) is a factor of 2a2 + 2xa + 5x + 10, f(-x) = 0 So, f(-x) = 2x2 – 2x2 – 5x + 10 = 0 Or, -5x + 10 = 0 Thus, x = 2

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