Math, asked by sabbutv2gmailcom, 28 days ago

check whether x+1 is a factor of 2x^4+3x^3-x^2+5​

Answers

Answered by pavanadevassy
0

Answer:

(x+1) is not a factor of 2x^4+3x^3-x^2+5

Step-by-step explanation:

For a linear polynomial (x-a) to be a factor of a polynomial Q(x), Q(a) should be zero.

The polynomial given in the question is,

Q(x)=2x^4+3x^3-x^2+5

(x+1) is a factor of Q(x) if and only if Q(-1)=0.

Q(-1)=2\times (-1)^4+3\times (-1)^3-(-1)^2+5\\\\=2\times 1+3\times (-1)-1+5=2-3-1+5=3.

Since   Q(-1)\neq 0, (x+1) is not a factor of 2x^4+3x^3-x^2+5.

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