Question

which rational number is to be added and subtracted in the quadratic polynomial$x^2+3x+1$ to complete the square .......
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Answer 1

1x²+3x+1=0

There is Coffcient of x²=1

So, we have to Multiply -1/2 to Coffcient of x and have to square it...

$( \frac{ - 1}{2} \times coffcient \: of \: x)^{2}$

$( \frac{ - 1}{2} \times 3)^{2}$

$( \frac{ - 3}{2} )^{2}$

$\frac{9}{4}$

Answer 2

$\huge\mathtt{\underline{Question}}$

which rational number is to be added and subtracted in the quadratic polynomial$x^2+3x+1$ to complete the square .......

$\huge\mathtt{\underline{Answer}}$

1x²+3x+1=0

There is Coffcient of x²=1

So, we have to Multiply $-\frac{1}{2}$to Coffcient of x and have to square it...

$\frac{ - 1}{2}$× coefficient of x

$-\frac{1}{2}\times{3}^2$

$-\frac{-3}{2}^2$

$\frac{9}{4}$

Hope it's helps you ☺️