Question

f(x)=10x^4+17x^3-62x^2+30x-3 divide by 2x^2+7x+7​

Answer 1

Answer:

Quotient: 5x²-9x+3

Remainder: 0

Step-by-step explanation:

Let p(x)=10x⁴+17x³-62x²+30x-3,

g(x)=2x²+7x-1,

According to the problem given,

p(x)÷g(x)=?

Quotient:5x²-9x+3__________

g(x)|10x⁴+17x³-62x²+30x-3

*****10x⁴+35x³-5x²

_________________________

********* -18x³-57x²+30x

********* -18x³-63x²+9x

__________________________

************** 6x²+21x-3

**************6x²+21x-3

___________________________

****Remainder (0)

Therefore,

Dividend:10x⁴+17x³-62x²+30x-3

Divisor : 2x²+7x-1

Quotient: 5x²-9x+3

Remainder: 0

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