Question

Tentativa N 3 Ajuda! Para amanhã!
Fatore os polinômios :
1) x³+2x+x
2) a²+2ab+b²-c²
3) x²-8x+16
4) 3x²+6x+3
5) a²-6ab+9b²
6) x²+5x+6
7) x²-7x+10
8) p²-pm+pm-m²
9) kb²+k-2b²-2
10) mx²+2mxy+my²
11) p²b² - 4p²ac

Answer 1

1) x³+2x+x = x(x² + 2 + 1) = x(x² + 3)

2) a²+2ab+b²-c² = (a + b)² - c²

3) x²-8x+16 = (x - 4)·(x - 4) ou (x - 4)²

4) 3x²+6x+3 = x² + 2x + 1 = (x + 1)·(x + 1) ou (x - 1)²

5) a²-6ab+9b² = (a + 3b)² = (a + 3b)(a + 3b) ou (a + 3b)²

6) x²+5x+6 = (x + 2)·(x + 3)

7) x²-7x+10 = (x - 2)·(x - 5)

8) p²-pm+pm-m² = p² - m² = (p - m)·(p + m)

9) kb²+k-2b²-2 = k(b² + 1) - 2(b² + 1) = (k - 2)·(b² + 1)

10) mx²+2mxy+my = m(x² + 2xy + y) 

11) p²b² - 4p²ac = p²(b² - 4ac)