Question

Find the value of a, if x+a is a factor of the polynomial p(x)=x^3+ ax^2-2x+a+4​

Answer 1

Answer:

★ Question:-

Find the value of a, if x+a is a factor of the polynomial p(x)=x^3+ ax^2-2x+a+4

★ Answer:-

Let p(x) = x³ + ax² - 2x + a + 4 ... (1)

Since, (x + a) is a factor of p(x), so p(-a)

= 0

Put x = -a in equation (i), we get

p(-a)= (-a)³ + a(-a)2²-2(-a) + a + 4

-a3 + a(a²) + 2a +a+4

-a3+ a³ + 3a + 4

3a + 4

But p(-a) = 0

→ За + 4 = 0

→ 3a = -4

a = - 4/3

hope it was helpful to you. ...........★★

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