Explain me the method of Synthetic division...(for finding roots of biquadratic polynomial)... Pls help me guys..soon!!!!!
Answers
Answer:
The best way to solve a biquadratic equation is to find two ros by hit and trial method and the factorising the quadratic equation.
ax4+bx3+cx2+dx+e
Consider the following equation.
the factors (which are to be found out by hit and trial) are from the factors of e.
then use synthetic division method…
step 1: Set up the synthetic division.
Step 2: Bring down the leading coefficient to the bottom row.
synthetic division
Step 3: Multiply c by the value just written on the bottom row.
Place this value right beneath the next coefficient in the dividend:
synthetic division
Step 4: Add the column created in step 3.
Write the sum in the bottom row:
synthetic division
Step 5: Repeat until done.
synthetic division
Step 6: Write out the answer.
The numbers in the last row make up your coefficients of the quotient as well as the remainder. The final value on the right is the remainder. Working right to left, the next number is your constant, the next is the coefficient for x, the next is the coefficient for x squared, etc...
The degree of the quotient is one less than the degree of the dividend. For example, if the degree of the dividend is 4, then the degree of the quotient is 3.
synthetic division