ChiamakaK469588 ChiamakaK469588
  • 03-11-2022
  • Mathematics
contestada

Rewrite (4x4 + 8x2 + 3)/(4x2) in the form q(x) + r(x)/b(x) where q(x) = quotient, r(x) = remainder, and b(x) = divisor.

Rewrite 4x4 8x2 34x2 in the form qx rxbx where qx quotient rx remainder and bx divisor class=

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NovakZ291636 NovakZ291636
  • 03-11-2022

ANSWER

(x² + 2) + 3/4x²

EXPLANATION

Since the divisor is a single-term polynomial, to write the answer in the requested form, we can distribute the divisor into each of the terms of the dividend,

[tex]\frac{4x^4+8x^2+3}{4x^2}=\frac{4x^4}{4x^2}+\frac{8x^2}{4x^2}+\frac{3}{4x^2}[/tex]

And simplify,

[tex]\frac{4x^4}{4x^2}+\frac{8x^2}{4x^2}+\frac{3}{4x^2}=(x^2^{}+2)^{}+\frac{3}{4x^2}[/tex]

Hence, the answer is (x² + 2) + 3/4x².

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