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andriy [413]
3 years ago
5

5. Which of the following linear expressions is a factor of the cubic polynomial x^3 + 9x² +16x-12?

Mathematics
2 answers:
VLD [36.1K]3 years ago
5 0

Answer:

(1) x+6

Step-by-step explanation:

Possible rational zeroes include ±1, ±2, ±3, ±4, ±6, ±12

Check each answer choice with synthetic division:

1 | 1 9 16 -12

 __1_10_26

    1 10 26 | 14

-2 | 1  9   16 -12

   __-2_-14_-4

      1  7   2  | -16

-6 | 1 9     16 -12

    __-6_-18_12

      1  3   -2  | 0

Therefore, x+6 is a factor of the polynomial

diamong [38]3 years ago
4 0

Answer:

(1) x+6

Step-by-step explanation:

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8. Find x<br> (9x+37) (7y - 1<br> an<br> 16x+8)<br> (11y +19)
BartSMP [9]

Answer:

x=9

Step-by-step explanation:

Opposite angles in a paralellogram are equal

9x+37=11y+19, 7y-1=6x+8

Add -37 to both sides.

9x=11y−18

Divide both sides by 9

x= 11/9y−2

Substitute this into the other equation

7y−1=6x+8

7y−1=6( 11/9 y−2)+8

7y−1= (22 /3 y−4)

Add 22/3y to both sides

-1/3y-1= -4

Solve

y=3

Substitute

x= (11 /9 y−2 )

x= (11 /9 (9)−2 )

x=9

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