Question

1) Fatores os polinômios a seguir:
a) a^2+2a+5a+10
b) 36 + 12xy+ x^2y^2
c) x^4- 22x^2+ 121
me ajudem por favor!​

Answer 1

Oie, Td Bom?!

a)

$= a {}^{2} + 2a + 5a + 10 \\ = a \: . \: (a + 2) + 5(a + 2) \\ = (a + 2) \: . \: (a + 5)$

b)

$= 36 + 12xy + x {}^{2} y {}^{2} \\ = 6 {}^{2} + 2 \: . \: 6 \: . \: xy + (xy) {}^{2} \\ = (6 + xy) {}^{2}$

c)

$= x {}^{4} - 22x {}^{2} + 121 \\ = x {}^{2 \: . \: 2} - 2 \: . \: x {}^{2} \: . \: 11 + 11 {}^{2} \\ = (x {}^{2} ) {}^{2} - 2 \: . \: x {}^{2} \: . \: 11 + 11 {}^{2} \\ = (x {}^{2} - 11) {}^{2}$

Att. Makaveli1996