Edexcel Maths Pure Paper 2 Questions
And Answers
(Yr1)hExpandingh(a+B)h^nhusinghthehbinomialhexpansionhformula?h-
hCORRECThhANSWER-(3-2x)^8hFindhthehbinomialhexpansionshuphtohx^2
1.)h8C0hx(-2x)x(3^8)h+h8C1x(-2x)x(3^7)h+h8C2x(-2x)^2x(3^6)
2.h(1h+h2x)^30huphtohx^3
=30C0x(2x)h+h30C1x(2x)h+h30C2x(2x)^2hxeg(h1^28)+h30C3x(2x)^3
Powersh(x)hgohup
Coefficienth(egh1)hgoeshdown
Binomialhexpansionhformulahwhenhn(power)hishahnegativehnumberhorhahfractionh-
hCORRECThhANSWER-(1+x)^nh=h1h+hnxh+hn(n-1)/2h(x^2)h+hn(n-1)(n-2)/3h(x^3)h+...
Example
(1+x)^-3huphtohx^3
=1h-h3xh+(-3(-3-1)/2h(x^2)h+h(-3(-3-1)(-3-2)h/3h(x^3)
=1h-h3xh+h6x^2h-h10x^3
(ifhithishnoth1htakehithoutsidehofhthehbracket,heverythinghinsidehwillhbehdivisiblehbyhthath)
Calculatinghinequalitieshinhmodulashfunctions?h-hCORRECThhANSWER-Bndk
Howhdohyouhcalculatehmodulashfunctions?h-hCORRECThhANSWER-
X?h=hsolvehforhxhalgebraicly
Y?h=hlinehcrosseshYhaxis,hsohsubhxhforh0
| Negativesh|hbecomeh|hPositivesh|
h h
|hPositivesh|hbecomeh|hNegativesh|
VhShapeh
Negativehpartsharehreflectedhinhthehxhaxis
And Answers
(Yr1)hExpandingh(a+B)h^nhusinghthehbinomialhexpansionhformula?h-
hCORRECThhANSWER-(3-2x)^8hFindhthehbinomialhexpansionshuphtohx^2
1.)h8C0hx(-2x)x(3^8)h+h8C1x(-2x)x(3^7)h+h8C2x(-2x)^2x(3^6)
2.h(1h+h2x)^30huphtohx^3
=30C0x(2x)h+h30C1x(2x)h+h30C2x(2x)^2hxeg(h1^28)+h30C3x(2x)^3
Powersh(x)hgohup
Coefficienth(egh1)hgoeshdown
Binomialhexpansionhformulahwhenhn(power)hishahnegativehnumberhorhahfractionh-
hCORRECThhANSWER-(1+x)^nh=h1h+hnxh+hn(n-1)/2h(x^2)h+hn(n-1)(n-2)/3h(x^3)h+...
Example
(1+x)^-3huphtohx^3
=1h-h3xh+(-3(-3-1)/2h(x^2)h+h(-3(-3-1)(-3-2)h/3h(x^3)
=1h-h3xh+h6x^2h-h10x^3
(ifhithishnoth1htakehithoutsidehofhthehbracket,heverythinghinsidehwillhbehdivisiblehbyhthath)
Calculatinghinequalitieshinhmodulashfunctions?h-hCORRECThhANSWER-Bndk
Howhdohyouhcalculatehmodulashfunctions?h-hCORRECThhANSWER-
X?h=hsolvehforhxhalgebraicly
Y?h=hlinehcrosseshYhaxis,hsohsubhxhforh0
| Negativesh|hbecomeh|hPositivesh|
h h
|hPositivesh|hbecomeh|hNegativesh|
VhShapeh
Negativehpartsharehreflectedhinhthehxhaxis