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
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The value of p is 2 and the value of q is 3.
Step-by-step explanation:
Consider the provided information.
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.
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Using long division method
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