Question

20) Without actual division, prove that (x+1) exactly divides the polynomial
x⁴ + 2x³ + 3x² + 6x + 4.​

Answer 1

Step-by-step explanation:

if we put x+1=0 in equation

ie. x = -1

then we get the value of equation as zero

(-1)⁴+2(-1)³+3(-1)²+6(-1)+4

= 1-2+3-6+4

= 0

this proves that x +1 is perfect divisor of the fiven equation