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Readme [11.4K]
3 years ago
11

Read the question and answer. Ignore the c please, its incorrect.

Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0

Answer:

The correct choice is E

Step-by-step explanation:

Neither A, B, C, or D are correct, so the right answer must be E. By the way, E isn't shown in the picture.

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Determine all factors of the expression 3x^3+7x^2-18x+8 if one of the factors is x-1
Lynna [10]

Answer:

The factors are x-2,x-\frac{2}{3} and x+4

Therefore the expression can be written as 3x^3+7x^2-18x+8=(x-2)(x-\frac{2}{3})(x+4)

Step-by-step explanation:

Given expression is 3x^3+7x^2-18x+8

And also given that x-1 is one of the factors

i.e.,x-1=0

 x=1

To find the factors equate the given expression to zero

3x^3+7x^2-18x+8=0

Using synthetic division to find the factors

1_|    3       7       -18        8

       0       3        10       -8

   ___________________

       3      10       -8         0

Therefore the quadratic equation is  3x^2+10x-8=0

To find the factors of the above equation:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Where a and b are coefficients of x^2 and x respectively

x=\frac{-10\pm\sqrt{10^2-4(3)(-8)}}{2(3)} Where a=3 , b=10 and c=-8

=\frac{-10\pm\sqrt{100+96}}{6}

=\frac{-10\pm\sqrt{196}}{6}

=\frac{-10\pm14}{6}

x=\frac{-10\pm14}{6}

Therefore x=\frac{-10+14}{6}  and x=\frac{-10-14}{6}

x=\frac{4}{6}  and x=\frac{-24}{6}

Therefore x=\frac{2}{3}  and x=-4

Therefore the factors are x-2,x-\frac{2}{3}  and x+4

3x^3+7x^2-18x+8=(x-2)(x-\frac{2}{3})(x+4)

4 0
3 years ago
Marlene decided to buy 2 bags of apples weighing 3
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Answer:

3 bags of 225 pounds has more apples

Step-by-step explanation:

2*314=628

3*225=675

675>628

3 bags of 225 pounds has more apples

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4 years ago
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Vinil7 [7]
A because I don’t know why
3 0
3 years ago
Money is borrowed at 12
tiny-mole [99]
Because 1023.68 is 112% of the loan, you can divide by 1.12 to get 914, which is the answer
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If you simplify 4.5 − x − 3.6 + 2x, your answer will be __________.
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Answer:

x + 0.9

Step-by-step explanation:

sorry if I'm wrong

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