25. Use your work done in #24 to draw a rough sketch of f(x) = 4x4 + 8x³ + 19x² + 32x + 12.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I attached the soloution of q24
24. Use the Rational Zero Theorem to help you solve the polynomial equation
4x4 + 8x³ + 19x² + 32x + 12 = 0.
25. Use your work done in #24 to draw a rough sketch of f(x) = 4x4 + 8x³ +19x² + 32x + 12.
Transcribed Image Text:24. Use the Rational Zero Theorem to help you solve the polynomial equation 4x4 + 8x³ + 19x² + 32x + 12 = 0. 25. Use your work done in #24 to draw a rough sketch of f(x) = 4x4 + 8x³ +19x² + 32x + 12.
Use synthetic division to find actual zero
by evaluating each possible rational
zeros.
-1
Start with 2
14+8+19+32+12
2 -2-3-8-12
4+6+16+24+0
The quotient obtained is 4x³ +6x² +16x+24
and remainder is 0. This means 2 is a
zero of the polynomial function.
Write the polynomial as,
(4x³ +6x² +16x+24) x+:
4) (x + 12 )
Hence, three zeros of the polynomial
-1 3
글을
2 2
function is
|X=
Transcribed Image Text:Use synthetic division to find actual zero by evaluating each possible rational zeros. -1 Start with 2 14+8+19+32+12 2 -2-3-8-12 4+6+16+24+0 The quotient obtained is 4x³ +6x² +16x+24 and remainder is 0. This means 2 is a zero of the polynomial function. Write the polynomial as, (4x³ +6x² +16x+24) x+: 4) (x + 12 ) Hence, three zeros of the polynomial -1 3 글을 2 2 function is |X=
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