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If one of the zeros of the quadratic polynomial 2x^2 + px + 4

Question

If one of the zeros of the quadratic polynomial $2 x^{2} + p x + 4$ is 2, find the other zero. Also find the value of p.

p = - 1

, other zero

= 1

p = - 2

, other zero

= 1

p = - 6

, other zero

= 1

p = - 7

, other zero

= 1

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If one of the zeros of the quadratic polynomial

2 x^{2} + p x + 4

is 2, find the other zero. Also find the value of p.

10 mins ago

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Text solutionVerified

We know that for a quadratic polynomial

a x^{2} + b x + c

product of the zeros=

\frac{c}{a}

Here,quadratic polynomial is

2 x^{2} + p x + 4

One root is

2

Let the other root be

a

Therefore,

2 \times a = \frac{4}{2}

=> a = 1

Therefore,

The other zero is

1

Also, sum of the zeros =

\frac{- b}{a}

=> 1 + 2 = \frac{- p}{2}

=> 3 \times 2 = - p

=> p = - 6

Therefore,

p = - 6

, other root

= 1

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Question Text	If one of the zeros of the quadratic polynomial $2 x^{2} + p x + 4$ is 2, find the other zero. Also find the value of p.
Answer Type	Text solution:1
Upvotes	153

If one of the zeros of the quadratic polynomial 2x2+px+4 is 2, find the other zero. Also find the value of p.

Text solutionVerified

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If one of the zeros of the quadratic polynomial $2 x^{2} + p x + 4$ is 2, find the other zero. Also find the value of p.