Question

If the product of zeros of quadratic polynomial 3 X square + 5 x + K is minus 2 then find the value of k

Answer 1

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Answer 2

The value of k is -6.

Step-by-step explanation:

Consider the given quadratic polynomial is

$P(x)=3x^2+5x+k$

If a quadratic polynomial is $P(x)=ax^2+bx+c$, then

Sum of zeros = -b/a

Product of zeros = c/a

In the given polynomial a=3,b=5 and c=k.

It is given that product of zeros of given quadratic polynomial is -2.

$\dfrac{k}{3}=-2$

Multiply both sides by 3.

$k=-6$

Therefore, the value of k is -6.

#Learn more

If the sum of the zeros of the quadratic polynomial kx²+3x+4k is equal to their product,then find the value of K.

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