Question

if x+2 is a factor of x^3-2ax^2+16, then value of a is

Answer 1

$\bf\underline{\underline{\blue{SOLUTION:-}}}$

Question

• If x+2 is a factor of x^3-2ax^2+16, then value of a is?

Answer

• Value of a= 1

Given

• p(x) = x³-2ax²+16
• g(x) = x+2

To Calculate

• Value of a

Explanation

p(x) = x³-2ax²+16

g(x) = x+2

➺ x+2=0

➺ x=-2

Putting x=-2 in p(x)

• p(x) = x³-2ax²+16

➺ (-2)³-2×a×(-2)²+16=0

➺ -8-2×a×4+16=0

➺ -8-8a+16=0

➺ -8a+8=0

➺ -8a=-8

➺ a= 8/8

➺ a=1

$\bf\underline{\underline{\blue{HENCE:-}}}$

• Value of a = 1

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Answer 2

Step-by-step explanation:

Question

If x+2 is a factor of x^3-2ax^2+16, then value of a is?

Answer

p(x) = x³-2ax²+16

g(x) = x+2

Value of a Explanation

p(x) = x³-2ax²+16

g(x) = x+2

x+2=0

x=-2

Putting the' x '= -2 in p(x)

p(x) = x³-2ax²+16

• (-2)³-2×a×(-2)²+16=0

• -8-2×a×4+16=0

• -8-8a+16=0

• -8a+8=0

• -8a=-8

• a= 8/8

• a=1

Value of a = 1