Question

9.Rozłóż wielomian na czynniki.
a)-3x⁴-7x³+6x²+14x
b)-x⁶-3x⁵+2x⁴+6x³

DAJE NAJ I 5 GWIAZDEK

Answer 1

a)

W(x) = - 3x^4 -7x^3 + 6x^2 +14x =

= x×(-3x^3 -7x^2 +6x + 14) =

= x×[ (6x-3x^3) + (14 - 7x^2)] =

= x×[3x(2-x^2) +7(2-x^2)] =

= x×(2 -x^2)×(3x+7) =

= x×(V2 -x)×(V2 + x)×(3x+7)

V - oznacza pierwiastek

b)

W(x)= -x^6 -3x^5 +2x^4 +6x^3 =

= x^3 ×[ -x^3 -3x^2 +2x +6] =

= x^3+ [ x(2 -x^2) +3( 2 - x^2)] =

= x^3 × (2 -x^2)×(x+3) =

= x^3 × ( V2 - x )×(V2 + x)×( x + 3)

V - oznacza pierwiastek