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Word Problems Involving Factoring Polynomials - Free Printable

Educational worksheet: Word Problems Involving Factoring Polynomials. Download and print for classroom or home learning activities.

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- Let the width be $x$ meters.
- Then the length is $(x + 4)$ meters.
- The area is given by $x(x + 4) = 12$.
- Expand: $x^2 + 4x = 12$.
- Rearrange into standard quadratic form: $x^2 + 4x - 12 = 0$.
- Factor the quadratic: $(x + 6)(x - 2) = 0$.
- Solve for $x$: $x = -6$ or $x = 2$.
- Since width cannot be negative, $x = 2$.
- Therefore, width = 2 meters, length = $2 + 4 = 6$ meters.

Parent Tip: Review the logic above to help your child master the concept of factoring polynomials word problems worksheet.

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