Find the value of “p” from the polynomial x2 + 3x + p, if one of the zeroes of the polynomial is 2.
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2 thoughts on “Find the value of “p” from the polynomial x2 + 3x + p, if one of the zeroes of the polynomial is 2.<br />❌no spam❌<br />❌no copied”

1. QUESTION :

   Find the value of “p” from the polynomial x2 + 3x + p, if one of the zeroes of the polynomial is 2.

   ANSWER :

   If 2 is the zero of the polynomial, then the value of the polynomial is 0 when x = 2

   p(x) = x^2 + 3x + p

   x = 2,

   and p(2) = 0

   so,

   [tex] {x}^{2} + 3x + p = 0 \\ {2}^{2} + 3(2) + p = 0 \\ 4 + 6 + p = 0 \\ p = – 10[/tex]

   FINAL ANSWER :

   p = –10

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2. Answer:

   As 2 is the zero of the polynomial.

   We know that if α is a zero of the polynomial p(x), then p(α) = 0

   Substituting x = 2 in x2 + 3x + p,

   ⇒ 22 + 3(2) + p = 0

   ⇒ 4 + 6 + p = 0

   ⇒ 10 + p = 0

   ⇒ p = -10

   hope it helps uh ☆

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