Question

the value of x^+8x+16 at x=- 4​

Answer 1

Answer:

Explanation:

Given:

x

2

−

8

x

+

16

.

We find two numbers, say

a

and

b

, such that

a

+

b

=

−

8

and

a

b

=

16

.

Mentally, I see that

a

=

b

=

−

4

. Checking,

(

−

4

)

+

(

−

4

)

=

−

8

,

−

4

⋅

−

4

=

16

.

Now, we split it into:

=

x

2

+

a

x

+

b

x

+

16

=

x

2

−

4

x

−

4

x

+

16

=

x

(

x

−

4

)

−

4

(

x

−

4

)

=

(

x

−

4

)

(

x

−

4

)

=

(

x

−

4

)

2

Answer 2

Answer:

$\huge\mathfrak\red{0}$

Step-by-step explanation:

$p(x) = {x}^{2} + 8x + 16$

if x=(-4), then

$p( - 4) = { - 4}^{2} + 8( - 4) + 16$

$= 16 + ( - 32) + 16$

$= 16 + 16 - 32$

$= 32 - 32$

$= 0$

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