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(x⁴ + 8x³ - 45x + 30) ÷ (x + 7)

Topic is Polynomials. Find the answer using long division. Please, provide detailed steps. ​

Sagot :

Answer:

Step-by-step explanation:

I added 3 images labelled Synthetic division 1 , 2 , 3 . I hope you understand this. It's really hard to type the method in the format so I used an online calculator symbolab.

View image IjlalHashmi
View image IjlalHashmi
View image IjlalHashmi

Answer:

The quotient is: [tex]x^3+x^2-7x+4[/tex]

The remainder is: 2

Step-by-step explanation:

We need to solve the polynomials [tex](x^4 + 8x^3 - 45x + 30) \div (x + 7)[/tex]

by using long division.

The long division is done in figure attached.

The quotient is: [tex]x^3+x^2-7x+4[/tex]

The remainder is: 2

View image absor201