Q. If g(y)=7y2−15y−14, use synthetic division to find g(2).
Write Coefficients and Value: To use synthetic division, we first write down the coefficients of the polynomial: 7, −15, and −14. Then we write the value we are evaluating, which is 2, to the left.
Bring Down First Coefficient: We bring down the first coefficient, 7, as it is.
Multiply and Write Result: Multiply the value we brought down 7 by 2 (the value we are evaluating at) and write the result under the second coefficient. So, 7×2=14.
Add Second Coefficient: Add the second coefficient (−15) to the result from the previous step (14) and write the sum under it. So, −15+14=−1.
Multiply and Write Result: Multiply the result from the previous step (−1) by 2 and write the result under the third coefficient. So, −1×2=−2.
Add Third Coefficient: Add the third coefficient (−14) to the result from the previous step (−2) and write the sum under it. So, −14+−2=−16.
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