Question

Which polynomial is represented by the algebra tiles? x2 – x – 4 x2 – x + 4 3x2 – 5x + 8 3x2 – 5x – 8

Answer 1

Answer is 3x² - 5x - 8

3x² - 8x + 3x - 8

x(3x - 8) + 1(3x - 8)

(x +1) (3x - 8)

Answer 2

Thank you for asking this question. The options are not written clearly here:

Here are the options:

a. x^2 – x – 4

b. x^2 – x + 4

c. 3x^2 – 5x + 8

d. 3x^2 – 5x – 8

Answer:

The correct answer is option B: x^2 – x + 4

In order to solve this we will add all the like terms together:

(x² + x² - x²) + (-x - x - x + x + x) + (1 + 1 + 1 + 1 + 1 + 1 - 1 - 1)

= (2x² - x²) + (-3x + 2x) + (6-2)

= x² + (-x) + 4

= x² - x + 4

So the final answer is x² - x + 4

If there is any confusion please leave a comment below.