Question

If x+2 is a factor of x^3 - 2ax^2+16,find the value of a
a)3

b)1

c)4

d)2



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Answer 1

Solution

Given :-

• x + 2 is a factor of x^3 - 2ax^2+16=0

Find :-

• Value of a

Explanation

We know, if (x + p) is a factor of this equation (ax² + bx + c = 0 ) .

Then, x = -p is satisfied of this equation .

For this, Equation

Keep x = -2 in this equation,

==> (-2)³ - 2a(-2)²+16=0

==> -8 - 8a + 16 = 0

==> -8a = -8

==>a = -8/(-8)

==> a = 1

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Hence

• Value of a = 1

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Since

• Your Answer Will be Option Number (b).

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Answer 2

Answer:

b)1 is answer of question