Factor the trinomial and enter the factorization below. Write each factor as a polynomial in descending order.

x2 + 16x + 63

Question

Factor the trinomial and enter the factorization below. Write each factor as a polynomial in descending order.

x2 + 16x + 63

nurali · Answer

x2 + 16x + 63
x2 + 9x + 7x +63
x(x+9) + 7(x+9)
(x+7)(x+9)

whpalmer4 · Answer

$$(x+a)(x+b) = x^2+ax+bx+ab$$$$ = x^2 + (a+b)x + ab$$Compare that with your original equation$$x^2+16x+63$$You can see that to make each term match, we need to find a pair of numbers $a,b$ such that $$a+b = 16$$(for the middle term) and$$a*b = 63$$(for the constant term)

9 and 7 is such a pair, so the factorization is $(x+9)(x+7) = x^2+16x+63$