What is the mistake for the synthetic division below? 나 3 J -2 a 12 -150 40 3m3-2m2-150 m-4

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter5: Polynomials And Polynomial Functions
Section5.4: Dividing Polynomials
Problem 340E: Explain when you can use synthetic division.
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Explain the mistake in the synthetic division below.

) What is the mistake for the synthetic division below?
4
3
ل مع الله
3
-2
12
lo
-150
40
-110
3m³-2m²-150
m-4
Transcribed Image Text:) What is the mistake for the synthetic division below? 4 3 ل مع الله 3 -2 12 lo -150 40 -110 3m³-2m²-150 m-4
(3)
3x²+4x+36
X+2
D.N.
X+2=0
X=-2
-2
2 -3
4
√ -4 14
2x² -7x 18
36
-36
0 Remainder
Constant
Quotient 2x27x+18 *
Because the remainder is 0; x+2
and the Quotient are factors of the
dividend
the divisor
(x+2)(2x³-7x+18) = 2x²³²- 3x² + 4x +36
Transcribed Image Text:(3) 3x²+4x+36 X+2 D.N. X+2=0 X=-2 -2 2 -3 4 √ -4 14 2x² -7x 18 36 -36 0 Remainder Constant Quotient 2x27x+18 * Because the remainder is 0; x+2 and the Quotient are factors of the dividend the divisor (x+2)(2x³-7x+18) = 2x²³²- 3x² + 4x +36
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