Question

If x⁴+ 3x² + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are:​

Answer 1

Answer:

possible degree of quotient =3( 1 less than highest degrees of divided)

possible degree of reminder = 0( 1 less than highest degree of divisor)

Answer 2

Answer:

Quotient is x^3/3 -5x^2/9 +25x/7 -125/21

Degree of Quotient is 3(1 less than that of dividend's)

Remainder is 625/21

Degree of Remainder is 0(1 less than that of divisor's)

Step-by-step explanation:

×^4+3x^2+7 dividee by 3x+5

x^4/3x = x^3/3

(x^3/3)(3x+5)=x^4+5x^3/3

x^4-x^4-5x^3/3 = -5x^3/3

-5x^3/3/3x = -5x^2/9

-5x^2/9(3x+5)=-5x^3/3-25x^2/9

-5x^3/3+5x^3/3+25x^2/9=25x^2/9

(25x^2/9)/3x=25x/27

(25x/27)(3x+5)=25x^2/9+125x/7

25x^2/9-25x^2/9-125x/7= -125x/7

(-125x/7)/3x= -125/21

(-125/21)(3x+5)=-125x/7-625/21

-125x/7+125x/7+625/21=625/21