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The area of a rectangular knitted blanket is 10x squared minus 11x minus 6. What are the possible dimensions of the​ blanket? Use factoring.

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Answer:

Dimensions of rectangle are [tex](5x+2)\:and\: (2x-3)\\[/tex]

Step-by-step explanation:

Area of rectangular knitted blanket = [tex]10x^2-11x-6[/tex]

We need to find the dimensions of blanket.

If we need to find the dimensions, we need to find the factors of area.

Factoring:  [tex]10x^2-11x-6[/tex]

We will break the middle them -11x

  • Adding 4x-15x we get -11x
  • Multiplying 4x and -15x we get -60x^2 (Product of -6 and 10x^2)

Now, finding factors

[tex]10x^2-11x-6\\10x^2+4x-15x-6\\2x(5+2)-3(5x+2)\\(5x+2)(2x-3)\\[/tex]

So, factors of [tex]10x^2-11x-6\\[/tex] are [tex](5x+2)(2x-3)\\[/tex]

So, dimensions of rectangle are [tex](5x+2)\:and\: (2x-3)\\[/tex]

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