Question

Descompuneti in factori polinoamele
X^3-4X^2
2X^4+5X^3
X^3-3X^2+4X
X^2-10X+21
X^2+6X+8
X^2+11X+24
SEMNUL ^ INSEAMNA LA PUTEREA A...

Answer 1

Răspuns:

x^2(x-4)

x^3(2x+5)

x(x^2 - 3x + 4)

(x-7)(x-3)

(x+2)(x+4)

(x+3)(x+8)

Answer 2

x³ - 4x² =

= x²(x - 4)

2x⁴ + 5x³ =

= x³(2x + 5)

x³ - 3x² + 4x =

= x(x² - 3x + 4)

x² - 10x + 21 =

= x² - 3x - 7x + 21

= x(x - 3) - 7(x - 3)

= (x- 7)(x - 3)

x² + 6x + 8 =

= x² + 4x + 2x + 8

= x(x + 4) + 2(x + 4)

= (x + 2)(x + 4)

x² + 11x + 24 =

= x² + 8x + 3x + 24

= x(x + 8) + 3(x + 8)

= (x + 3)(x + 8)