Question

3. Find if the second polynomial is a factor of the first polynomial using long division methode
(a) x2 - 4x + 8, X-2
(6) 2x + x - 5x-3, 2x + 3
(c) 8x + 10x - 58 – 4x+1, 2+x-1​

Answer 1

Step-by-step explanation:

a bit

• x²-4x+8÷x-2
• the largest power is 2; do divide x² by x in the divisor
• x²/x= x now this x is quotient. so multiply the quotient with divisor
• x(x-2)= x²-2x
• x²-4x+8
• x²-2x, we will subtract from dividend by changing symbols x²-4x+8-x²+2x= -2x+8 this is remainder
• .................
• we repeat the above steps again
• -2x/x= -2(this is quotient)
• multi ply -2 with divisor= -2x+4
• -2x+8from this subtract -2x+4
• remainder= 4
• so the quotient is x-2