Question

9 Fatore os polinômios:
a) mx + nx + 2m + 2n
b) a² + ab - a-b
c) ab + ac + bx + cx + 4b + 40
d) am - cp + ap - cm -m-p
​

Answer 1

a)

$mx + nx + 2m + 2n \\ (mx + 2m) + (nx + 2n) \\ m(x + 2) + n(x + 2) \\ (m + n)(x + 2)$

b)

${a}^{2} + ab - (a - b) \\ {a}^{2} + ab - a + b \\ {a}^{2} - a + ab + b \\ a(a - 1) + b(a + 1) \\ (a + b)( {a }^{2} - 1)$

c)

$ab + ac + bx + cx + 4b + 40 \\ a(b + c) + x(b + c) + 4(b + 10) \\ (a + x)(b + c) + 4(b + 10)$

d)

$am - cp + ap - cm - m - p \\ am - cm - m - cp + ap - p \\ m(a - c - 1) - p( - c + a - 1) \\ (m - p)(a - c - 1)$