Answered

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pano ang product of a binomial at trinomial

Sagot :

Product of binomial:
(x+2)(x+3)
You can write it as:
x(x+3)+2(x+3)
Distribute
x²+3x+2x+6
=x²+5x+6

Now, the product of trinomial:
(x²+x-2)(x²+2x+1)
You can write it as:
x²(x²+2x+1)+x(x²+2x+1)-2(x²+2x+1)
=[tex]x^{4}+2x^{3}+x^{2}+x^{3}+2x^{2}+x-2x^{2}-4x-2[/tex]
=[tex]x^{4}+3x^{3}+x^{2}-3x-2[/tex]

Hope this helps =)
Multiplication of Binomial to Trinomial
[tex]( x+3)(x^2+2x+4) = n[/tex]
   To solve [tex]n[/tex], do the distributive method.
[tex]x(x^2+2x+4) 3(x^2+2x+4)=x^3+2x^2+4x+3x^2+6x+12[/tex][tex]=x^3+5x^2+10x+12[/tex]