HOW TO SOLVE THIS MATH PROBLEMS (2 Viewers)

[Bronx_Tips]

When the polynomial P(x) is divided by x 2 − 1 the remainder is 3x − 1. What is the remainder when P(x) is divided by x − 1?

AND

Let P(x) = (x − 1)(x + 3)Q(x) + ax + b, where Q(x) is a polynomial and a and b are real numbers. The polynomial P(x) has a factor of (x + 3). When P(x) is divided by (x − 1) the remainder is 8. (a) Find the values of a and b. (b) Find the remainder when P(x) is divided by (x − 1)(x + 3).

PLEASE DONT JUDGE ME IM ONLY IN YEAR 7 GOING TO YEAR 8 I NEED HELP WITH THIS

 

[eternallyboreduser]

When the polynomial P(x) is divided by x 2 − 1 the remainder is 3x − 1. What is the remainder when P(x) is divided by x − 1?

AND

Let P(x) = (x − 1)(x + 3)Q(x) + ax + b, where Q(x) is a polynomial and a and b are real numbers. The polynomial P(x) has a factor of (x + 3). When P(x) is divided by (x − 1) the remainder is 8. (a) Find the values of a and b. (b) Find the remainder when P(x) is divided by (x − 1)(x + 3).

PLEASE DONT JUDGE ME IM ONLY IN YEAR 7 GOING TO YEAR 8 I NEED HELP WITH THIS

For the first one:
p(x)= q(x) x (x^2-1) + 3x -1
p(1) = 3(1)-1=2

 

[eternallyboreduser]

When the polynomial P(x) is divided by x 2 − 1 the remainder is 3x − 1. What is the remainder when P(x) is divided by x − 1?

AND

Let P(x) = (x − 1)(x + 3)Q(x) + ax + b, where Q(x) is a polynomial and a and b are real numbers. The polynomial P(x) has a factor of (x + 3). When P(x) is divided by (x − 1) the remainder is 8. (a) Find the values of a and b. (b) Find the remainder when P(x) is divided by (x − 1)(x + 3).

PLEASE DONT JUDGE ME IM ONLY IN YEAR 7 GOING TO YEAR 8 I NEED HELP WITH THIS

For q2 a)
sub x =-3 and then x = 1, solve for a and b using simultaneous eqns
and for b) just sub in a and b into ax+b

 

[mandemindiguise]

bro this is yr7-8 work?

 

[scaryshark09]

For q2 a)
sub x =-3 and then x = 1, solve for a and b using simultaneous eqns
and for b) just sub in a and b into ax+b

yeh, ill just add the working

P(1) = 8
a + b = 8 ......... [1]

P(-3) = 0
-3a + b = 0 .......... [2]

[1] - [2] : 4a = 8
a = 2
b = 6

therefore the remainder is 2x + 6

 

[WeiWeiMan]

bro this is yr7-8 work?

prob accelerating

 

[Bronx_Tips]

bro this is yr7-8 work?

yes got a problem mate

 

[Bronx_Tips]

prob accelerating

I still love u *smooch*

 

[Bronx_Tips]

For the first one:
p(x)= q(x) x (x^2-1) + 3x -1
p(1) = 3(1)-1=2

WHY SUB INTO THE REMAINDER? I DONT GET THE LOGIC BEHIND IT

 

[liamkk112]

WHY SUB INTO THE REMAINDER? I DONT GET THE LOGIC BEHIND IT

from P(x)/D(x) = Q(x) + R(x)/D(x). remainder can also be a function of x, so is the quotient, divisor and hecne the whole polynomial

 

[liamkk112]

from P(x)/D(x) = Q(x) + R(x)/D(x). remainder can also be a function of x, so is the quotient, divisor and hecne the whole polynomial

to really understand polynomials, id recommend just doing a bunch of division questions, it can help u to better figure out what exactly is happening, especially in these types of questions

 

[Bronx_Tips]

thx bae

 

[mandemindiguise]

yes got a problem mate

 

[WeiWeiMan]

I still love u *smooch*

that's cool

yes got a problem mate

that aint yr7/8 stuff that's like yr9/10 (maybe prelim 3u)

 

[liamkk112]

that aint yr7/8 stuff that's like yr9/10 (maybe prelim 3u)

if i learned polynomials in years 7-10 my mind would have been blown lmao, i barely even understood it in year 11

 

[Average Boreduser]

that's cool


that aint yr7/8 stuff that's like yr9/10 (maybe prelim 3u)

nah thats y4 at most. look up Jonah soewandito u aint doing it right if u aint acceling at age 12 smh.

 

[WeiWeiMan]

nah thats y4 at most. look up Jonah soewandito u aint doing it right if u aint acceling at age 12 smh.

not everyone is a prodigy

if i learned polynomials in years 7-10 my mind would have been blown lmao, i barely even understood it in year 11

wtf 99 3u tho

 

[liamkk112]

not everyone is a prodigy

wtf 99 3u tho

ye but i was not that good at maths before really, i think the first a i ever got in math was at the end of year 10 lol, and i only got like 60% on prelims. so basically i spent the last 2 years studying nonstop but at least it paid off

 

[WeiWeiMan]

ye but i was not that good at maths before really, i think the first a i ever got in math was at the end of year 10 lol, and i only got like 60% on prelims. so basically i spent the last 2 years studying nonstop but at least it paid off

sheesh first A in yr 10 to 99 3u that's insane
how to study 4u

 

[liamkk112]

sheesh first A in yr 10 to 99 3u that's insane
how to study 4u

spam past papers really, as many questions as possible so then u can get all the easy / repeat questions out of the way, and then spend more time on the harder ones

and make sure u have a really good conceptual understanding of what’s happening, that way no matter what they give u u can still figure out the question