Question

Find the quotient and remainder of x^4+10x^3+35x^2+50x+29 by (x+4)​

Answer 1

Answer:

Quotient - x³+6x²+11x+6

remainder -5

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Answer 2

$\bigstar$ Question:

• Find the quotient and remainder when x⁴ + 10x³ + 35x² + 50x + 29 is divided by ( x + 4 )

$\bigstar$To find:

• The quotient and remainder.

$\bigstar$ Solution:

• Answer is given in attachment. If there is any doubt, feel free to ask.

$\bigstar$Answer:

• Therefore, the quotient is x³ + 6x² + 11x + 6 and the remainder is 5.

$\star$Note:

• During division, please write the dividend in standard order, i.e. from lowest power to Highest power.
• If a power is missing, for example there is no cube in a polynomial where the degree is 4, you can write the cube as (variable)³ where variable may be x,y,z,etc.
• Always remember for sign change. If there is plus in second number, it will be minus and if there is minus, it will be plus.
• It is because,

$\rightarrow$ Suppose x⁴ is to be subtracted from x⁴, so it will be x⁴ - x⁴