Question

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The polynomial
negative -19x^2+181x+14,420
represents the electricity generated (in gigawatts) by geothermal sources during 2002-2007. The polynomial
866x^2–78x+10,190 represents the electricity generated (in gigawatts) by wind power during 2002-2007. In both polynomials, x represents the number of years after 2002. Find a polynomial for the total electricity generated by both geothermal and wind power during 2002 - 2007

Answer 1

Explanation:

To find the polynomial for the total electricity generated by both geothermal and wind power during 2002-2007, we need to add the two given polynomials.

The polynomial for the total electricity generated by both geothermal and wind power during 2002-2007 would be:

negative -19x^2+ 181x + 14,420 + 866x^2 – 78x + 10,190

Simplifying, we get:

847x^2 + 103x + 24,610

So the polynomial for the total electricity generated by both geothermal and wind power during 2002-2007 is 847x^2 + 103x + 24,610.