Using the Remainder Theorem In Exercises 51-54, use the Remainder Theorem and synthetic division to find each function value. Verify your answers using another method. h ( x ) = x 3 – 5 x 2 – 7 x + 4 ( a ) h ( 3 ) ( b ) h ( 1 2 ) ( c ) h ( − 2 ) ( d ) h ( − 5 )
Using the Remainder Theorem In Exercises 51-54, use the Remainder Theorem and synthetic division to find each function value. Verify your answers using another method. h ( x ) = x 3 – 5 x 2 – 7 x + 4 ( a ) h ( 3 ) ( b ) h ( 1 2 ) ( c ) h ( − 2 ) ( d ) h ( − 5 )
Solution Summary: The author calculates the value of h(3) using remainder theorem and synthetic division method.
Using the Remainder Theorem In Exercises 51-54, use the Remainder Theorem and synthetic division to find each function value. Verify your answers using another method.
h
(
x
)
=
x
3
–
5
x
2
–
7
x
+
4
(
a
)
h
(
3
)
(
b
)
h
(
1
2
)
(
c
)
h
(
−
2
)
(
d
)
h
(
−
5
)
Using the remainder theorem: Use the remainder theorem and synthetic division to evaluate the function at each given value. Use a graphing utility to verify your results.
(i) Divide
x - 16
x? + 3x + 1;
by
[hint : use long division polynomial notion]
If f(x) = x - 3x? + x + 5, use the remainder theorem to find f(2).
(ii)
Use division to express the dividend as (Divisor)(Quotient) + (Remainder).
x²- 7x+8
x-2
The quotient is
with a remainder of
i)
Use synthetic division to perform the division.
x3 + 4x + 6x + 4
x+2
x + 4x² + 6x + 4
x+2
(Simplify your answer)
Use the remainder theorem to find the remainder when f(x) is divided by the given x -k.
f(x) = 3x - 5x + 6
X-2
%3D
When 3x -5x +6 is divided by x- 2, the remainder is
Chapter 3 Solutions
Bundle: College Algebra, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's College Algebra, 10th Edition, Single-Term
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