Concept explainers
To evaluate: A polynomial function for given x , using synthetic substitution.
The required value of
Given data: The given polynomial function is
Concept used:
If
R is obtained by synthetic substitution.
Calculations:
The given polynomial in standard form is
Step1: First write the coefficients of polynomial function
Step2: Bring down the leading coefficient and multiply it by x value. Write the product under second coefficient and add,
Step3: Multiply the sum (1) under second coefficient by x -value and write it under third coefficient and add as:
Step3: Multiply the sum (-1) under third coefficient by x -value and write it under next coefficient and add as:
Step4: Multiply the sum (5) under fourth coefficient by x -value and write it under next coefficient that is constant and add as:
Thus, synthetic substitution gives
Check by direct substitution:
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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- ◄ Listen A vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 560 square feet. Find the width of the walkway (x) if the garden measures 15 feet wide by 19 feet long. Write answer to 2 decimal places. (Write the number without units). X 15 feet Your Answer: 19 feet Xarrow_forwardListen A stuntman jumps from a roof 440 feet from the ground. How long will it take him to reach the ground? Use the formula, distance, d = 16t2, (where t is in seconds). Write answer to 1 decimal place. (Write the number, not the units). Your Answer:arrow_forwardSolve x² - 10x + 24 = 0 ○ A) 4,6 B) -12, -2 C) 12,2 D) -4, -6arrow_forward
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