the expression y² - 10y + 24 has a factor of y - 4. what is another factor of y² - 10y + 24?\no y - 20\no y…

the expression y² - 10y + 24 has a factor of y - 4. what is another factor of y² - 10y + 24?\no y - 20\no y - 14\no y - 8\no y - 6

the expression y² - 10y + 24 has a factor of y - 4. what is another factor of y² - 10y + 24?\no y - 20\no y - 14\no y - 8\no y - 6

Answer

Explanation:

Step1: Use polynomial long - division or factoring method

We know that for a quadratic polynomial (ay^{2}+by + c) (here (a = 1), (b=-10), (c = 24)) and one factor ((y - m)) (here (m = 4)). We can factor (y^{2}-10y + 24) by finding two numbers that multiply to (ac=24) and add up to (b=-10). The numbers are (-4) and (-6) since ((-4)\times(-6)=24) and (-4+( - 6)=-10). So (y^{2}-10y + 24=(y - 4)(y - 6)).

Answer:

D. (y - 6)