IDNStudy.com, ang perpektong platform para sa eksaktong at mabilis na mga sagot. Alamin ang mga detalyadong sagot mula sa mga bihasang miyembro ng aming komunidad na sumasaklaw sa iba't ibang paksa para sa lahat ng iyong pangangailangan.

What are the steps for the long division algorithm for dividing polynomials?

Sagot :

It is similar on dividing whole numbers.

let y = x² + 4x - 12 / x - 2

Step 1:
Divide the first term of the dividend to that of the first term of the divisor.
x² / x = x
The quotient will be the first term of your answer. 

Step 2:
Multiply first the quotient by the terms of the divisor.
x(x) = x² 
x(-2) = -2x 
And then put it below the terms of the dividend.

Step 3:
Subtract the terms of the divisor by the product. 
x² - x² = 0
4x - (-2x) = 6x

Step 4:
Bring down one term left next to the difference.
6x - 12

Step 5:
Then go, repeat to step 1.

y =  x + 6
Now, can you get it? :)