Question

find the zeros of the quadratic polynomial 2x²+7x+3​

Answer 1

QUESTION:-

find the zeros of the quadratic polynomial 2x²+7x+3​

EXPLANATION:-

To find the zeroes of the polynomial we will factorize it ,to get it's factors and then we will find the zeroes

So let's factorize it !

2x²+7x+3​

Let's use the method of splitting the middle term

So find for 2 numbers whose sum is 7 and produc is 6.

So the 2 numbers are 6 & 1

So let't split the middle term:-

2x²+7x+3​

=>2x²+6x+1x+3

=>2x(x+3)+1(x+3)

=>(2x+1)(x+3)

So the factors of the equation are 2x+1 and x+3 ,So the zeroes will,

2x+1=0

2x=-1

x=-1/2

x+3=0

x=-3

So the zeroes of 2x²+7x+3​ is -1/2 and -3

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