The expression y2 – 10y + 24 has a factor of y – 4. what is another factor of y2 – 10y + 24?

The given expression is

This is of the form

Comparing the two equations we have a=1,b=-10,c=24.

We split the middle term -10y in two parts .We need to find two numbers which on multiplication will give a .c=24 .The same numbers on addition should give b=-10 .These numbers come fromthe factors of 24.

If we add -6-4 we get -10 .-6 times -4 =+24.

Splitting the middle terms by these numbers:

taking common factors of the two pairs:

y(y-6) -4(y-6) =(y-6)(y-4)

If one of the factors is y-4 other is -6.

step-by-step explanation:

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