Math, asked by PurpleBangtan, 8 months ago

Factorize x^3+23x^2+142x+120

Answers

Answered by sakshisingh27
2

Step-by-step explanation:

&lt;!DOCTYPE html&gt;</p><p></p><p>&lt;html lang="en"&gt;</p><p></p><p>&lt;head&gt;</p><p></p><p>&lt;title&gt;&lt;/title&gt;</p><p></p><p>&lt;/head&gt;</p><p></p><p>&lt;body style="color:red;"&gt;</p><p></p><p>&lt;/body&gt;</p><p></p><p>&lt;/html&gt;

x3-23x2+142x-120

by trial and error method let us see if [x-1] is a factor of this polynimial

therefore p[1]= 1³-23×1²+142×1-120

                     = 1-23+142-120

                     = 0

so [x-1] is a factor,

now, to divide [x-1] with  x3-23x2+142x-120

by doing this we will get x²-22x+120

to find the other factors of  x3-23x2+142x-120 we can split the middle term

x3-23x2+142x-120

=x²-12x+[-10x] +120

=x[x-12]-10[x-12]

=[x-10][x-12]

therefore the factors of  x3-23x2+142x-120 are:

[x-1][x-10][x-12]

#####sakshi

Answered by melfidu13157
4

hey kdrama fan bts army!

im purple u cause im an army and kdrama addict....

Similar questions