Question

Solve the equation given the two indicated roots. Use synthetic division.

Answer 1

\[3x^4+5x^3-7x^2-2x+2; 1, 2/3\]

Answer 2

ok i ll help you with this one.. using an example (a simpler one :D)

lets say i am asked to solve the equation
\[x^2 - x - 2 =0 \] provided the one of the roots is \[2\]

i would say.. hey.. since 2 is a root of that rather simple equation (which by the way i could have totally solved all by myself ) that means

x- 2 must be a factor of that equation.. which means, if i divide that equation by x - 2, (synthetic division), i must get remainder zero..

so lets go ahead and try that will ya?
( i know you can probably factorize that bad boy.. but lets do synthetic division anyways)

Answer 3

can you tell me what is Quotient?

Answer 4

yeah one sec... I just gotta write down the quotient cause it's an equation.

Answer 5

no problimo!.. after you do that.. do the same for your equation :P

Answer 6

first for root 1, the quotient is \[3x^3+8x^2+x-2\]

Answer 7

is that correct so far?

Answer 8

you can check yourself

multiply you're quotient with (x-1) and see if you get back your original equation
(this is called lazy mentoring :D.. and aayyyee love it)

Answer 9

what should I get if I multiply the quotient by (x-1)?

Answer 10

meaning what would be the product?

Answer 11

your orginal equation man..

just like if you dividve 6/2 = 3
now if you wanna check if its right

multiply 2 and 3 and see if you get 6..

Answer 12

divisor * Quotient = dividend (only when remainder is zero)

Answer 13

and i don't think you're quotient s right :-/

Answer 14

@hello1213
Divide the expression given in question by x-1 ; using synthetic division.
Show complete steps.

Answer 15

Use the Draw tool..