1.

Divide 10x⁴+8x²+6x+3 with x²-5x+6 with full steps ​

Answer»

ANSWER:

LET (10x

4

+17x

3

−62x

2

+30x−3) be F(x) and (2x

2

+7x−1) be g(x).

f(x)=g(x)×q(x)+r(x) where q(x) is quotient and r(x) is the remainder.

2x

2

+7x−1)10x

4

+17x

3

−62x

2

+30x−3(5x

2

−9x+3

(−)10x

4

+35x

3

−5x

2

−18x

3

−57x

2

+30x

(−)−18x

3

−63x

2

+9x

6x

2

+21x−3

(−)6x

2

+21x−3

0

Therefore, quotient is 5x

2

−9x+3.


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