Question

if (x+1) is a factor of x⁴-ax³+2x²-3x+1 then a equals to​

Answer 1

Heya❤

$x {}^{4} - ax {}^{3} + 2x {}^{2} - 3x + 1 \\ if \: x + 1 = 0 \\ then \: \: \: x = - 1 \\ \\ now..substitute \: the \: value \: of \: x \: in \: the \: given \: \\ equation \\ \\ ( - 1) {}^{4} - a( - 1) {}^{3} + 2( - 1) {}^{2} - 3( - 1) + 1 = 0\\ 1 + a + 2 + 3 + 1 = 0 \\ a + 7 = 0 \\ a = - 7$

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Answer 2

Answer:

Step-by-step explanation:

If x+1 is a factor of p(x), then x=-1 is a zero of p(x).

p(-1)=0

(-1)^4-a(-1)^3+2(-1)^2-3(-1)+1=0

1+a+2+3+1=0

a=-7