Question

dany wielomian rozłoz na czynniki.

a) y ²-16

b) x ²+6x+9

c)4x ²-12x+9

d)4x ²-81

e)64-x ²

f)36+6x+1/4x ²

g)x(do 3) -27

Answer 1

a) y ²-16 = (y-4)(y+4)

b) x ²+6x+9 

delta= 36 - 36

x=0

x1= -6/2 = -3

  = (x+3)(x+3)

c)4x ²-12x+9 = (2x-3)²

(x-6)(x-6)

d)4x ²-81 = (2x-9)(2x+9)

e)64-x ² = (8- x)(8+x)

f)36+6x+1/4x ² = (1/2x+6)(1/2x+6)

g)x(do 3) -27 = (x-3)(x²- 6+9)= (x-3)(x-3)(x-3)

 

Answer 2

a) y²-16 = (y+4)(y-4)

 

b) x ²+6x+9 = (x+3)(x+3)

 

 

 

c)4x ²-12x+9 = (2x-3)(2x-3)

 

 

 

d)4x ²-81= (2x+9)(2x-9)

 

 

 

e)64-x ²= (8+x)(8-x)

 

 

 

f)36+6x+1/4x ²= (6 + 1/2x)(6 + 1/2x)

 

g)x(do 3)-27 = (x-3)(x²+3x+9)