Divide f(x) by d(x), and write a summary statement in the form indicated.. f(x) = x4 + 4x3 + 6x2 + 4x + 5; d(x) = x2 + 1. a. f(x) = (x2 + 1)( x2 + 4x + 5) + 12x - 15. b. f(x) = (x2 + 1)( x2 + 4x + 5). c. f(x) = (x2 + 1)( x2 - 4x + 5). d. f(x) = (x2 + 1)( x2 - 4x + 5) + 12x - 16

Option B is correct.

Step-by-step explanation:

We given with two polynomials.

We have to check which given statement is correct.

For this divide f(x) by d(x)

Division is shown in pic.

After division we get,

Quotient = x² + 4x + 5

Remainder = 0

If, a is dividend , b is divisor , q is quotient and r is remainder ,

then by division algorthium it can be written as ,

a = bq + r

⇒ f(x) = ( x² + 1 )( x² + 4x + 5 ) + 0

f(x) = ( x² + 1 )( x² + 4x + 5 )

Therefore, Option B is correct.

answer: d. $20

step-by-step explanation:

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