generic method for factoring polynomials - Find the dimensions for the following generic rectangle.

Sangeetha Pulapaka (last edited 4 years ago) (Expert, Educator @Qalaxia)

STEP 1: Remember what a generic rectangle is

STEP 2: Remember what a generic rectangle in algebra is

STEP 3: Remember how to factor a trinomial using the generic rectangle

STEP 3: find out the factors of all the complete variables in the gird and enter them

Factors of 2x^{2} = 2x \times 2x

Factors of 8x = 2x \times 4. This is because we already have 2x outside the grid and only when we multiply 2x with 4 we get 8x.

Now to find the remaining factors to fill in the blanks

Factor of 3x = 3 \times x

Factor of 12 = 3\times 4

Write these factors on the blanks.