Question

Which board geometrically represents 4x2 – 1 using algebra tiles? An algebra tile configuration showing only the product spot, which has 9 tiles in 3 columns with 3 rows. First row: 2 x squared, 1 x. Second row: 2 x squared, 1 x. Third row: 2 negative x, 1. An algebra tile configuration showing only the product spot, which has 9 tiles in 3 columns with 3 rows. First row: 2 x squared, 1 x. Second row: 2 x squared, 1 x. Third row: 2 negative x, 1 negative. An algebra tile configuration showing only the product spot, which has 9 tiles in 3 columns with 3 rows. First row: 2 x squared, 1 negative x. Second row: 2 x squared, 1 negative x. Third row: 2 negative x, 1. An algebra tile configuration showing only the product spot, which has 9 tiles in 3 columns with 3 rows. First row: 2 x squared, 1 x. Second row: 2 x squared, 1 x. Third row: 2 x, 1.

Answer 1

An algebra tile configuration shows only the product spot, which has 9 tiles in 3 columns with 3 rows. First row: 2 + x squared, 1 + x. Second row: 2 + x squared, 1 + x. Third row: 2 negative x, 1 negative.

The correct option is B.

Given

Equation; $\rm 4x^2 - 1$

Quadratic equation

It is a polynomial that is equal to zero.

Polynomial of variable power 2, 1, and 0 terms are there.

Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

4x² -1 = 0 is a quadratic equation.

An algebra tile configuration showing only the product spot, which has 9 tiles in 3 columns with 3 rows. First row: 2 + x squared, 1 + x. Second row: 2 + x squared, 1 + x. Third row: 2 negative x, 1 negative.

Then,

The factors of the polynomial is;

$\rm 4x^2 - 1=0\\\\ 4x^2-2x+2x-1=0\\\\ 2x(2x-1)+1(2x-1)=0\\\\(2x-1)(2x+1)=0$

Hence, an algebra tile configuration shows only the product spot, which has 9 tiles in 3 columns with 3 rows. First row: 2 + x squared, 1 + x. Second row: 2 + x squared, 1 + x. Third row: 2 negative x, 1 negative.

More about the quadratic equation link is given below.

brainly.com/question/2263981