Math, asked by sickboy5164, 1 year ago

If the polynomial x 4 + 2 x cube + 8 x square + 12 x + 18 is divided by another polynomial x square + 5 the remainder comes out to be px + q find the value of p and q

Answers

Answered by Srikar1805
60

Comment if you don't understand it. But if you understand it mark me as the brainliest

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Answered by FelisFelis
15

The value of p is 2 and the value of q is 3.

Step-by-step explanation:

Consider the provided information.

\dfrac{x^4+2x^3+8x^2+12x+18}{x^2+5}

To Divide the expression use the steps shown below:

  • First we divide the dividend's leading term by divisor's leading term.
  • The obtained result is the will give you the first term of the quotient.
  • Multiply the divisor by the first term of the quotient
  • Subtract the dividend from the product.
  • Put the next term down
  • Repeat the above steps.

The required division is shown below:

The remainder is 2x+3. By comparing with px + q, we can concluded that the value of p is 2 and the value of q is 3.

#Learn more

Using long division method ​

https://brainly.in/question/9514026

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