Factoring Polynomials Using the Common Factor Area Model

What is the area of the rectangle expressed in polynomial form?

• 3x^4 + 6x^3 + 15x

• 12x^3 + 6x^2 + 15

• 3x^2 + 4x + 5

• 12x^4 + 6x^3 + 15x^2

What method can be used to find the greatest common factor of the coefficients?

• Prime factorization

• Synthetic division

• Factoring by grouping

• Long division

What is the greatest common factor of 12, 6, and 15?

• 6

• 3

• 2

• 12

What is the greatest power of x that is divisible into x^4, x^3, and x^2?

• x

• x^2

• x^3

• x^4

What is the length of the rectangle?

• 3x^2

• 4x^2

• 2x

• 5

How do you calculate the width of the rectangle?

• By multiplying the length by the greatest common factor

• By dividing each term of the area by the length

• By subtracting the length from the area

• By adding the coefficients

What is the width of the rectangle when expressed as a polynomial?

• 4x^2 + 2x + 5

• 3x^2 + 4x + 5

• x^2 + x + 1

• 12x^4 + 6x^3 + 15x^2

What is the result of dividing 12x^4 by 3x^2?

• 4x^3

• 9x^2

• 4x^2

• 3x

What is the result of dividing 6x^3 by 3x^2?

• 9x^2

• 3x

• 2x^2

• 2x

What is the result of dividing 15x^2 by 3x^2?

• 5x^2

• 5x

• 3x

• 5