Question

please help me this question is a not solve from me class 9th chapter name polynomial ​​

Answer 1

Answer:

this type questions are very simple you just need to put the value of x and if it is giving zero, it is the factor

Answer 2

Answer:

i)

Step-by-step explanation:

x + 1

x = -1

i) x3 + x2 + x + 1

(-1)3 + (-1)2 + (-1) + 1

(-1) + 1 + (-1) + 1

- 1 + 1 - 1 + 1

= 0

therefore x+1 is a factor of the polynomial

ii) x4 + x3 + x2 + x + 1

(-1)4 + (-1)3 + (-1)2 + (-1) + 1

1 + (-1) + 1 + (-1) + 1

1 - 1 + 1 - 1 + 1

= 1

therefore x + 1 is not a factor of the polynomial

iii) x4 + 3x3 + 3x2 + x + 1

(-1)4 + 3(-1)3 + 3 (-1)2 + (-1) + 1

1 + 3 (-1) + 3 (1) + (-1) + 1

1 - 3 + 3 - 1 + 1

= 1

therefore x+ 1 is not a factor of the polynomial