Respuesta :
Anja divides (8x3 – 36x2 54x – 27) by (2x – 3) in this process she makes a multiplication error.
We have given,
Anja divides (8x3 – 36x2 54x – 27) by (2x – 3)
2 x minus 3start long division symbol 8 x cubed minus 36 x squared 54 x minus 27 end long division symbol.
What is the division of polynomials?
To divide each term in the polynomial by the monomial, and then write each quotient in the lowest terms.
minus 8 x cubed minus, 12 x squared to get a remainder of negative 24 x squared 54 x.
minus 24 x squared 36 x to get a remainder of 18 x minus 27.
minus 18 x 27 to get a remainder of 0 and a quotient of 4 x squared minus 12 x 9.
Therefore we can conclude that she makes a multiplication error.
To learn more about the division of polynomials visit:
https://brainly.com/question/2264624
The Anja makes multiplication error, she writes 18x + 27 instead of 18x - 27 option third is correct.
What is polynomial?
Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have dividend polynomial:
[tex]\rm 8x^3 -36x^2+54x-27[/tex]
Divisor polynomial:
[tex]\rm 2x-3[/tex]
If divide [tex]\rm 8x^3 -36x^2+54x-27[/tex] by [tex]\rm 2x-3[/tex] we will get, quotient polynomial[tex]\rm 4x^2-12x+9[/tex], and remainder is zero but in the process of Anja's divide she did multiplication error as:
9(2x - 3) ⇒ 18x + 27
She put positive sign instead of negative.
The correct way of multiplication is as follows:
9(2x - 3) ⇒ 18x - 27
Thus, the Anja makes multiplication error, she writes 18x + 27 instead of 18x - 27 option third is correct.
Learn more about Polynomial here:
brainly.com/question/17822016
