f4 Quadratic Expression

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CHAPTER 2 : QUADRATIC EXPRESSIONS AND EQUATIONS

EXERCISE 1 :

Expand :

1. (x - 8) (x + 3)

Answer : ………2. (x + 3) (x – 3)

Answer : ………3. m(x + y) – (x + y)

Answer : ………

4. (2x – 1) (x + 3)

Answer : ………

5. 4( x2 – 2 ) – x( 5x + 1 )

Answer : ………

6.–2x( x – 3 ) + 4x( x – 6 )

Answer : ………

7. (x – 8 )( 2x + 5 )

Answer : ………8. ( 3u – 2s )( u – s )

Answer : ………

9. x( 5 – x ) – 4x2

Answer : ………

10. 9 – ( u – 3)( u + 2 )

Answer : ………



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EXERCISE 2

Expand :

1.(2p – q)2 – p(p – q)

Answer :…………….

2. (p – q)2 – (p

2 – q

2)


3. (3f + g)(2f – g) – g2


4. (6h + k)(k – 3h) + (h2 – k

2)


5. 2x(x – 1) + (2x + 1)2

Answer :…………….6. p( p – 4q ) – ( 2p – q )

2


7. ( x – 5 )2 – ( x + 3 )

2


8. ( 3x – 1 )2 – 5( x + 1 )


9. ( a + 4 )2 – 64a


10. ( k – 2m )2 – ( m

2 – 4k

2 )


kembangkan.



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DIAGNOSTIC TEST

1. (2p + q) ( q – 2p) =

A. 4p2 – q

2

B. q 2 – 4p

2

C. 4p2 – 4pq – q

2

D. 4p2 – 4pq + q

2

2. (3m –n) (2m – n) =

A. 6m2 – mn + n

2

B. 6m2 – 7mn – n

2

C. 6m2 – 7mn + n

2

D. 6m

2

– 5mn + n

2

3. (x + 5y)2 – 5xy =

A. x2 + 25y

2

B. x2 + 5xy + 25y

2

C. x2 – 5xy + 25y

2

D. x2 – 10xy + 25y

2

4. (x + y)2 + (x

2 – y

2) =

A. 2x2 + 2xy

B. 2x2 – 2xy

C. 2x2 + 2xy – 2y2

D. 2x2 – 2xy + 2y

2

5. ( 3h – 5 )( 2h + 4 ) =

A 6h2 + 2h + 20

B 6h2 + 2h – 20

C 6h2 +12h – 20

D 6h2 –10h + 20

6. m( m – 2 ) – 2m( m + 3 ) =

A –m2 – 8m

B m2 + 8m

C -m2 + 4m

D m2 – 6m



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7. ( 3p – m )( p – 4m ) =

A 3p2 + 4m

2

B 3p2 + 11mp – 4m

2

C 3p2 – 13mp – 4m

2

D 3p

2

+ 12mp + 4m

2

8. ( p + q )2 – ( 2p

2 – q

2 ) =

A – p2

+ 2q 2

B – p2 + 2pq

C – p2

D – p2 + 2pq + 2q

2

9. ( f – 2 )( f + 1 ) + ( 2f – 3 ) =

A f

2

– 2fB f 2 + f – 1

C f 2 + f – 5

D f 2 – 5

10. 3x( x – 2y ) – ( 2x – y )2 =

A 3x2 + 10x + y

2

B – x2 – 2xy – y

2

C – x2 –10xy – y

2

D – x2 + 2xy + y

2



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EXERCISE 1

1. Factorise completely p2 - 2p

2. Factorise completely 4 x2 – 81

3. Factorise completely r

2

– 4r – 12.

4. Solve the quadratic equation k( k – 12 ) + 20 = 0

5. Express the area of the triangle in terms of x.

(4x+1)cm

6x cm

Nyatakan persa



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EXERCISE 2

1. Solve the quadratic equation 3b ( 2b + 1 ) = 4 – 2b

2. Factorise completely 6 – 17 x - 14 x2

3. Solve the equation 15

32 2

=−

w

w

4. Solve the value of m for ( )3

)2(2

−

+=+

m

mm

5. Johan is 3 years older than his sister Aishah and the product of their age is 18.

Find the age of Johan.

Johan 3 tahun kurang daripada kakaknya dan hasil darab umur mereka ialah 18. carikan umur bagi

Selesaikan bagi nilai m.

Selesaikan.

Faktorkan sepenuhnya.

Selesaikan persamaan kuadratik.



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DIAGNOSTIC TEST

1. Solve the equation 03

2=− y y

2. Solve the quadratic equation3

1

62

2

+= y y

3. Solve the equation3

1

3

32 2

=−

y

y

4. Solve the quadratic equation2

2115

2

x x x

−= +

2x cm

5. The diagram shows a right-angled triangle ABC. A(a) Form an equation in terms of x using

Teorem Phytogoras and show that 9cm

x2 – 6x = 0. (x + 9) cm

(b) Hence, find the length of AC.

C

Selesaiakan persamaan.

Selesaiakan persamaan.

Selesaikan persamaan.

Selesaikan persamaan kuadratik.

Gunakan theorem pytogoras dengan membuktikan bahawa

b) Cari panjang AC

f4 Quadratic Expression

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