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4 years ago

Multiply. (2x-1) (x^2+x-3)Show steps please

Mathematics

1 answer:

loris [4]4 years ago

7 0

Answer:

2x^3+x^2-7x+3

Step-by-step explanation:

To do this you have to multiply the first term in the first parenthesis so you would multiply 2x by x^2 x and -3 so you get 2x^3+2x^2-6x for the first part and then you would multiply -1 by the terms again so you would get -x^2-x+3 so you would get 2x^3+2x^2-6x-x^2-x+3 then you would add add teh like terms together so you get 2x^3+x^2-7x+3 as the final answer

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Find all the zeros of the equation x^4-6x^2-7x-6=0

rusak2 [61]

Answer:

The zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Step-by-step explanation:

We have been given the equation x^4-6x^2-7x-6=0

Use rational root theorem, we have

$a_0=6,\:\quad a_n=1$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:6,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:3,\:6}{1}$

$-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2$

$=\left(x+2\right)\frac{x^4-6x^2-7x-6}{x+2}\\$

$=x^3-2x^2-2x-3$

Again factor using the rational root test, we get

$=\left(x+2\right)\left(x-3\right)\left(x^2+x+1\right)$

Using the zero product rule, we have

$x+2=0:\quad x=-2\\x-3=0:\quad x=3\\x^2+x+1=0\\\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\\\=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Therefore, the zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

4 0

3 years ago

Read 2 more answers

Solve 4X squared minus X -5 equals zero

Anettt [7]

your answer should be 1/3 if I did my math right

7 0

3 years ago

Mai skated miles, and Clare skated 3/5 farther than that. Write an expression for the distance Clare

nexus9112 [7]

5 is the whole so they skated 2/5 less than the original whole

6 0

3 years ago

Read 2 more answers

What's (9+9i)(-1-5i) using foil method

hammer [34]

Answer:

36-54i

Step-by-step explanation:

(9+9i)(-1-5i)

-9-9×5i-9i-9i×5i

-9-45i-9i-45i^2

-9-45i-9i-45×(-1)

(-9)-45i-9i+(45)

36(-45i)(-9i)

36-54i

5 0

3 years ago

A rectangle has a perimeter of 18 cm.its length is 5 cm greater than its width.find the dimensions.

Marat540 [252]

P=18
l=5 cm greater than the width
w=5 less than the length

USE YOUR NUMBER SENSE!!! - just plug in different number below 4 to figure out the width

3=w 3+5=8 8+8=16+6=22 WILL NOT WORK

2=w 2+5=7 7+7=14 14+2+2= 18 WE HAVE A WINNER!!!!

FInal Answer: width: 2 cm and length: 7 cm

5 0

4 years ago