Question

divide 3 x power 4 - 5 x cube + 4 x square + 3 x minus 5 by x square - 3 and verify the division algorithm​

Answer 1

Step-by-step explanation:

1. $3x {}^{4} - 5x {}^{3} + 4x { }^{2} + 3x - 5 \div - 3x {}^{2} + 0x + 0$

Answer 2

Answer:

Quotient = $3x^2 -5x + 13$

Remainder = -12x + 34

Step-by-step explanation:

Given problem,

$3x^4-5x^3+4x^2+3x-5\div x^2 - 3$

In long division,

First we cancel out the highest degree monomial of dividend by subtracting an expression obtained from the product of divisor of an expression.

That expression is the first term of the quotient,

And follow the step until you get a least degree polynomial,

Such that further division is not possible,

That polynomial is the reminder.

By following this,

We found that,

Quotient = $3x^2 -5x + 13$

Remainder = -12x + 34