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serg [7]
3 years ago
6

Factorize 2x⁴+x³-14x²-19x-6 no spam and kindly explain your answer!​

Mathematics
2 answers:
Aleks04 [339]3 years ago
4 0

Step-by-step explanation:

Consider given the expression,

⇒2x4+x3−14x2−19x−6

⇒x3(2x+1)−(14x2+19x+6)

⇒x3(2x+1)−(14x2+7x+12x+6)

⇒x3(2x+1)−[7x(2x+1)+6(2x+1)]

⇒x3(2x+1)−(2x+1)(7x+6)

⇒(2x+1)(x3−7x−6)

Hence, this is the answer.

bulgar [2K]3 years ago
4 0

Answer:

As (x+2) and (x-3) are factors of p(x), therefore g(x) = (x+2)(x-3) = x² - x - 6 is a factor of p(x). Let divide p(x) by g (x)to obtain the quotient as a quadratic in x and then factorise the quotient. So , when you divide p(x) by g(x) you will get 2x² + 3x + 1.29-Jun-2019

Step-by-step explanation:

As (x+2) and (x-3) are factors of p(x), therefore g(x) = (x+2)(x-3) = x² - x - 6 is a factor of p(x). Let divide p(x) by g (x)to obtain the quotient as a quadratic in x and then factorise the quotient. So , when you divide p(x) by g(x) you will get 2x² + 3x + 1.29-Jun-2019

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Martin can run 3 ¾ miles in 2/3 of an hour. Write a unit rate to describe the situation and explain the context.
BigorU [14]

Answer:

5 5/8 miles per hour

Step-by-step explanation:

Martin can run 3 ¾ miles in 2/3 of an hour. Write a unit rate to describe the situation and explain the context.

We are asked to write the unit rate , this means we are to find out how many miles he can run per hour

Hence,

2/3 hour = 3 3/4 miles

1 hour = x

Cross Multiply

2/3 hour × x = 3 3/4 miles × 1 hour

x = 3 3/4 miles × 1 hour/ 2/3 hour

x = 3 3/4 ÷ 2/3

x = 15/4 ÷ 2/3

x = 15/4 × 3/2

x = 45/8

x = 5 5/8 miles per hour

4 0
3 years ago
Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side BC at point M
a_sh-v [17]

Answer:

16 mm  

Step-by-step explanation:

Since ABC is an equilateral triangle, all three sides are the same length.  The perimeter is found by adding together all of these equal sides; letting x represent the length of a side of the triangle, this gives us

x + x + x = 96

Combining like terms,

3x = 96

Dividing both sides by 3,

3x/3 = 96/3

x = 32

Since AM is a perpendicular bisector, it splits BC into two congruent sections. This means the length of MC, half of BC, will be 32/2 = 16.

3 0
3 years ago
Read 2 more answers
What percent is equivalent to 1/25?​
oksano4ka [1.4K]

Answer:

4%

25 x FOUR is 100 so 4 is the answer

5 0
3 years ago
Read 2 more answers
What is the value of b 2 - 4ac for the following equation? 2x 2 3x = -1 0 1 17
sweet-ann [11.9K]
For 2x^2 + 3x = -1 => 2x^2 + 3x + 1 = 0 => a = 2, b = 3, c = 1
b^2 - 4ac = 3^2 - (4 x 2 x 1) = 9 - 8 = 1
4 0
4 years ago
Part A
omeli [17]

Answer:

Part 1: D

Part 2:  23.2.

Step-by-step explanation:

a^{2} \\+b^{2}=c^{2}

a^{2}+(2x^{2})=(8x^{2})

a^{2}=64x^{2}-4x^{2}

a^{2}=60x^{2}

a^{2}=\sqrt{60x^{2} }

\sqrt{4\\}*\sqrt{15}*\sqrt{x^{2} }

2*\sqrt{15}*x

2x\sqrt{15}

2(3)\sqrt{15}

6\sqrt{15} (Plug into a calculator.)

23.2

8 0
3 years ago
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