which polynomial is prime?\no (7x^{2}-35x + 2x-10)\no (9x^{3}+11x^{2}+3x - 33)\no (10x^{3}-15x^{2}+8x…

which polynomial is prime?\no (7x^{2}-35x + 2x-10)\no (9x^{3}+11x^{2}+3x - 33)\no (10x^{3}-15x^{2}+8x - 12)\no (12x^{4}+42x^{2}+4x^{2}+14)

which polynomial is prime?\no (7x^{2}-35x + 2x-10)\no (9x^{3}+11x^{2}+3x - 33)\no (10x^{3}-15x^{2}+8x - 12)\no (12x^{4}+42x^{2}+4x^{2}+14)

Answer

Explanation:

Step1: Factorize the first polynomial

Factor by grouping: [ \begin{align*} 7x^{2}-35x + 2x-10&=7x(x - 5)+2(x - 5)\ &=(7x + 2)(x - 5) \end{align*} ]

Step2: Factorize the second polynomial

Factor by grouping: [ \begin{align*} 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11) \end{align*} ] [ \begin{align*} 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x+11)+3(x - 11)\ 9x^{3}+11x^{2}+3x - 33&=x^{2}(9x + 11)+3(x - 11)\ 9x^{3}+11x^{2}+3x