Factoring with algebra tiles

represent the quadratic polynomial 2x2 + x – 6 using algebra tiles and determine the equivalent factored form.
the number of zero pairs needed to model this polynomial is .
the equivalent factored form is .

2 zero pairs needed to model this polynomial .

The equivalent factored form is

Given expression

The given expression is a second  degree polynomial expression with one variable and  roots for this expression can be found out by putting y =0

Hence on putting y=0 in equation (1) we get

On solving for the roots of the equation

For a quadratic equation  

So on finding the roots and   from equation (2) we get

So 2 zero pairs needed to model this polynomial .

The equivalent factored form is

For more information please refer to the link below

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step-by-step explanation: