The area of a rectangular garden is given by the trinomial x2+6x−27. What are the possible dimensions of the rectangle?

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Jacquelyn Watts · Accepted Answer

It&#039;s important to confirm this, but I believe that finding values for x is as easy as solving the quadratic formula.If so, then all you do is factorise and solve, factorising a quadratic involves two rules the numbers in the brackets have to sum to make b and multiply to make c of the formula ax2+bx+c9 and -3 multiply to make -27 and add to make 6 therefore (x−3)(x+6)since this is a quadratic and equals zero that tells you that either one of the brackets are equal to zero (as anything multiplied by zero is zero)x−3=0∴x=3x+6=0∴x=−6

Destiney Barrett · Accepted Answer

Most likely, the purpose of this inquiry is to inquire about factoring:A=x2+6x−27=(x+9)(x−3)However, this isn&#039;t a very good question because the factors don&#039;t really constrain the rectangle.

The area of a rectangular garden is given by the trinomial x^2+6x-27. What are the possible dimensions of the rectangle?

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