Answer :
Answer:
B.No, she did not multiply the negative integer tiles by the other negative integer tiles correctly.
Step-by-step explanation:
When multiplying these binomials, we multiply -2 by x and -2 by -3. In the diagram, we have negative x tiles, which is correct; but we have negative unit tiles. When we multiply a negative by a negative, we should get a positive result.
The product of the given algebraic equation is [tex]x^2 - 5x +6[/tex] which cannot be represented correctly by the given picture.
Thus the option B is the correct answer.
How do you find out the correct representation of the Equation?
Given algebraic equation is (x-2)(x-3).
The product of the given equation is,
Product = [tex](x-2)\times (x-3)[/tex]
[tex]x \times x + x\times (-3)+ (-2)\times x + (-2)\times (-3)[/tex]
[tex]x^2 -3x-2x +6[/tex]
[tex]x^2 -5x +6[/tex]
Thus the correct representation of the given equation is [tex]x^2 -5x +6[/tex].
We can see that, during the multiplication of the binomials, we multiply x with a negative integer and a negative digit with the other negative digit.
Hence for the first case where we multiply the x with a negative digit, the resultant will have a negative sign. For this Cherise has a negative tile to represent it. But for the second case, the multiplication of two negative digits gives a positive digit in the result, which can not be represented correctly by the given tiles.
Thus the option B is the correct answer. Cherise did not multiply the negative integer tiles by the other negative integer tiles correctly.
To know more about the algebraic equation, follow the link given below.
https://brainly.com/question/953809.