The binomial (a + 5) is a factor of a2 + 7a + 10. What is the other factor?
1 answer:
Answer:
(a + 2)
Step-by-step explanation:
To factor the quadratic, consider the factors of the constant term which sum to give the coefficient of the a term, that is
factors which multiply to give + 10 and sum to + 7
the required factors are + 5 and + 2, hence
a² + 7a + 10 = (a + 5)(a + 2)
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Step-by-step explanation:
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f(x) = 2x +1 and g(x) = x².
(gºf)(a)= g(f(a)) = g(2a+1) = (2a+1)² = 4a²+4a+1