Question

# If the product of zeros of the polynomial $$2x^2-6x-(6-a)$$ is $$4$$, then find a.

A
2
B
10
C
16
D
14

Solution

## The correct option is B $$14$$$$\Rightarrow$$  The given quadratic equation is $$2x^2-6x-(6-a)$$, comparing it with $$Ax^2+Bx+C=0$$$$\Rightarrow$$  We get, $$A=2,\,B=-6,\,C=-(6-a)$$$$\Rightarrow$$  Product of the zeros $$=4$$$$\Rightarrow$$  $$\dfrac{C}{A}=4$$$$\Rightarrow$$  $$\dfrac{-(6-a)}{2}=4$$$$\Rightarrow$$  $$-6+a=8$$$$\Rightarrow$$  $$a=8+6$$$$\therefore$$  $$a=14$$Maths

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