Wishing Wishing
  • 20-07-2020
  • Mathematics
contestada

If (x+1) is the factor of polynomial p(x) = ax²+x+1, then find a.

Respuesta :

ujalakhan18
ujalakhan18 ujalakhan18
  • 21-07-2020

Answer:

a = 0

Step-by-step explanation:

p(x) = ax²+x+1

Let x+1 = 0 => x = -1

Putting in the above polynomial

=> p(-1) = a(-1)^2+(-1)+1

By Remainder Theorem, Remainder will be zero

=> 0 = a(1) -1+1

=> 0 = a

OR

=> a = 0

Answer Link
09pqr4sT
09pqr4sT 09pqr4sT
  • 21-07-2020

Answer:

a = 1

Step-by-step explanation:

Factors are what we can multiply to get the number.

x² + x + 1

Factor the polynomial.

x(x+1) + 1

ax² + x = x(x + 1)

ax² + x = x² + x

[tex]a=\frac{x^2 +x}{x^2 +x}[/tex]

a = 1

Answer Link

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