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kondaur [170]
3 years ago
5

Factor completely: 2x3 + 14x2 + 6x + 42

Mathematics
2 answers:
ella [17]3 years ago
8 0

Answer:

2\cdot{(x+1)\cdot{(x^2+3)}

Step-by-step explanation:

We can take out 2 to as this is common in each term:

2\cdot{x^3}+14\cdot{x^2}+6\cdot{x}+42

2\cdot{(x^3+7\cdot{x^2}+3\cdot{x}+21)}

We can see that the use factors of 21 which are 1, 3, 7 and 21 (all ± values). We can use -7 and the coefficients of the simplified expression to determine if one of the values is zero when -7 is multiplied and added to the coefficients:

-7] 1  7   3   21

Bring down 1

-7] 1  7   3   21

____-7_ 0_-21____

    1  0   3    0

We can see that the factor of -7 yields two zeros, but the final answer is zero and therefore we can use 7 factor and the answers it yielded:

We can simplify the expression using 1, 0 and 3.

2\cdot{(x+7)\cdot{(x^2+0\cdot{x}+3)}

2\cdot{(x+7)\cdot{(x^2+3)}

SOVA2 [1]3 years ago
7 0
To factor all you do is...
Factor <span><span><span><span>2<span>x3</span></span>+<span>14<span>x2</span></span></span>+<span>6x</span></span>+42</span><span><span><span><span>2<span>x3</span></span>+<span>14<span>x2</span></span></span>+<span>6x</span></span>+42</span><span>=<span><span>2<span>(<span>x+7</span>)</span></span><span>(<span><span>x2</span>+3</span>)</span></span></span>Answer:<span><span>2<span>(<span>x+7</span>)</span></span><span>(<span><span>x2</span>+3</span><span>)</span></span></span>
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Who graph shows a rate of 60 feet per second?
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3 years ago
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Alik [6]

Answer:

2cm of Rainfall

Step-by-step explanation:

When the no. of mosquitoes is the highest the slope of graph will be zero

so if we differentiate this function and equate to zero we can find the rainfall amount that gives maximum number of mosquitoes in centimetres.

m(x)= -x²+4x

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6 0
3 years ago
you are a freelancer and were offered two gigs. one will pay you $25,000today and the other will pay you $5,000 per year over th
guajiro [1.7K]

The preferred gig is the first one since its today's worth is greater than the today's value of the second gig

What is the today's worth of $5000 each year?

The worth of the second gig, which pays $5000 every year for the next 6 years in today's dollar is the present value of all the six annual cash flows discounted using the present value formula of an ordinary annuity as shown below:

PV=PMT*(1-(1+r)^-N/r

PV=present value of annual payments for 6 years=unknown

PMT=annual payment=$5000

r=required return=discount rate=8%

N=number of annual cash flows=6

PV=$5000*(1-(1+8%)^-6/8%

PV=$5000*(1-(1.08)^-6/0.08

PV=$5000*(1-0.630169626883105)/0.08

PV=$5000*0.369830373116895

/0.08

PV=$23,114.40

The fact that the present value of the second option which pays $5000 annually is lesser than the amount receivable immediately, which is $25,000, hence, the first gig is preferred

Find out more about ordinary annuity on:brainly.com/question/13369387

#SPJ1

6 0
1 year ago
How do you do this question?
ohaa [14]

Step-by-step explanation:

The marginal totals are the sum of each row and column.

For example, the total number of sophomores is 120 + 302 = 422.

See picture of table with marginal totals filled in.

3 0
3 years ago
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