What if the two factors/different factors of a character did not segregate during gametogenesis and blended together?
The factors that segregate according segregation law are the two alleles of any gene (https://en.wikipedia.org/wiki/Mendelian_inheritance). The only way to avoid that two alleles segregate at meiosis is to have them inherited in the same gamete, as shown in the picture below . Thus, if the two alleles would not segregate you will double you number of alleles (and chromosomes) at each generation. The effect on any given allele would depend on the level of dominance (dominant, recessive, additive), but that would be the least, since at each meiosis the offspring would have twice the number of chromosomes compared to the parents.