Question

15.If one root of the quadratic polynomial 2x²− 3x + p is 3, find the other

root. Also, find the value of p.​

Answer 1

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To Solve:

• If one root of the quadratic polynomial 2x²− 3x + p is 3, find the other root. Also, find the value of p.

Solⁿ:

• Root: 3

For p, Put 3 as x

p(x) = 3

= 2(3)² - 3(3) + p = 0

18 - 9 + p = 0

9 + p = 0

p = -9

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For other root put p value and solve the Quadratic equation so formed.

= 2x² - 3x - 9 = 0

2x² -6x + 3x -9 = 0

2x(x - 3) + 3(x -3) = 0

(x - 3) (2x + 3) = 0

Roots are: x = 3, x = -3/2

p = -9

other root = -3/2

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Answer 2

hope this answer is helpful