Question

Can every expression be factored? Bild and sketch each expression below as a rectangle if possible. Then write an equation showing that the area is equal to the product of its side length factors. Check by multiplying the factors to get the original expression. If the expression cannot be built as a rectangular area, explain why no rectangle exists and thus why the expression cannot be factored.

Question 1

`2x^(2) +7x+6`
Question 2

`6x^(2) +7x+2`
Question 3

`x^(2) +4x+1`
Question 4

`2xy+6x+y^(2) +3y`

Answer 1

First, have a look on steps to understand the process.

After watching steps, you may proceed to see the other images sequentially for the answers to your question.

Question 4 is relatively simple, just write each term one by one in smaller boxes.