Question

Dorothy is drawing a block on a poster. She knows that the area of the block square cm. Determine which of the following are possible dimensions of the block, in cm.

Answer 1

(x-6)(x-1)

Explanation:

To find possible dimensions , we need to factor x^2 - 7x + 6

x^2 - 7x + 6

Here sum is -7 and product is 6

-1 times -6 = 6

-1 + (-6) = -7

Now we break -7x using factors -1 and -6

`x^2 + 7x + 6`

`x^2 -6x-1x + 6`

Now we do groping

`(x^2 -6x)+(-1x + 6)`

`x(x -6)-1(x-6)`

factor out x-6

(x-6)(x-1)

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