Question

If x+p is a factor of polinomial 2x^2+ 2px+5x+10 find p

Answer 1

let g(x)= x+p
=> x+p=0
=> x = -p

Answer 2

Answer :

The given polynomial is (2x² + 2px + 5x + 10).

Since, (x + p) is a factor of the polynomial, x = - p will satisfy the polynomial valuing 0.

Then,

2(- p)² + 2p(-p) + 5(- p) + 10 = 0

⇒ 2p² - 2p² - 5p + 10 = 0

⇒ 5p = 10

⇒ p = 10/5

⇒ p = 2

∴ p = 2

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