Question

If one of the zeroes quadratic polynomialpx=2x2-k+5x+6 is 3 ,find the other zero, also find the value k.​

Answer 1

Answer:

value of k = -1,

value of k = -1 other zero = 5/2

step by step explanation:

let p(x) = 2x^2 + kx - 15,

Given 3 is one zero of p(x)

Then,

p(3) = 0

=> 2(3^2) + k(3) - 15 = 0

=> 18+ 3k - 15 = 0

=> 3k + 3 = 0

=> 3k = -3

Divide each term by 3,we get

=> k = -1

put k = -1, in p(x),we get

p(x) = 2x^2 - x - 15

splitting the middle term, we get

= 2x^2 - 6x + 5x - 15

= 2x(x - 3) + 5(x - 3)

= (x - 3) (2x - 5)

Take 2x - 5 = 0

=> x = 5/2

Therefore value of k = -1

Other zero = 5/2

I HOPE IT'S HELP YOU

Answer 2

Step-by-step explanation:

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