Question
The area of the rectangle is given. Use factoring to find the expressions for the missing dimensions.

- (x + 3) and 3x
- (x – 3) and 6x
- (x – 2) and 6x
- (x + 2) and 3x
Hint:
6x2 = 2
3
x
x
-18x = (-1)
2
3
3
x
The correct answer is: (x – 3) and 6x
6x2 = 2
3
x
x
-18x = (-1)
2
3
3
x
GCF is 2
3
x, i.e., 6x.
6x(x – 3)
Related Questions to study
What is the GCF in the expression x(x + 5) – 3x(x + 5) + 4(x + 5)?
What is the GCF in the expression x(x + 5) – 3x(x + 5) + 4(x + 5)?
The area of the rectangle is 12x3 – 18x2 + 6x. The width is equal to the GCF. What could the dimensions of the rectangle be?
The area of the rectangle is 12x3 – 18x2 + 6x. The width is equal to the GCF. What could the dimensions of the rectangle be?
Write the difference in factored form. (24x4 – 15x2 + 6x) – (10x4+ 5x2 – 4x)
Write the difference in factored form. (24x4 – 15x2 + 6x) – (10x4+ 5x2 – 4x)
Factor out the GCF from the polynomial. 100a7b5 – 150a8b3
The GCF of two or more non-zero integers, x, and y, is the greatest positive integer m, which divides both x and y.
Factor out the GCF from the polynomial. 100a7b5 – 150a8b3
The GCF of two or more non-zero integers, x, and y, is the greatest positive integer m, which divides both x and y.
Factor out the GCF from the polynomial. 3x3y2 – 9xz4 + 8y2z
Factor out the GCF from the polynomial. 3x3y2 – 9xz4 + 8y2z
Find the GCF of this pair of monomials. 14x10y8 and 15x6y9
Find the GCF of this pair of monomials. 14x10y8 and 15x6y9
Find the GCF of this pair of monomials. 12a5b and 16a4b2
The GCF of two or more non-zero integers, x, and y, is the greatest positive integer m, which divides both x and y.
Find the GCF of this pair of monomials. 12a5b and 16a4b2
The GCF of two or more non-zero integers, x, and y, is the greatest positive integer m, which divides both x and y.
Find the GCF of this pair of monomials. 4x3 and 9y5
Find the GCF of this pair of monomials. 4x3 and 9y5
Factor out the GCF from the polynomial. -4y4 + 6y2 – 14y
Factor out the GCF from the polynomial. -4y4 + 6y2 – 14y
Factor out the GCF from the polynomial. 12x2 – 15x
Factor out the GCF from the polynomial. 12x2 – 15x
Write a trinomial that has a GCF of 4x2.
Write a trinomial that has a GCF of 4x2.
Factor out the GCF from the polynomial. x10 + x9 – x8
Factor out the GCF from the polynomial. x10 + x9 – x8
Factor out the GCF from the polynomial. 15x3y – 10x2y3
Factor out the GCF from the polynomial. 15x3y – 10x2y3
Factor out the GCF from the polynomial. -3x4 + 12x3 – 21x2
The GCF of two or more non-zero integers, x, and y, is the greatest positive integer m, which divides both x and y.
Factor out the GCF from the polynomial. -3x4 + 12x3 – 21x2
The GCF of two or more non-zero integers, x, and y, is the greatest positive integer m, which divides both x and y.