Matematica
1 – Ache o valor numérico das expressões abaixo: x2 – 2x + 3 para x = -3 3x – 3/5 para x = 2 (x+1)/(3 )+ (x-5)/2 para x = -2/5 (2x-1)/x- x+5 para x = 4 x3 – x2 – 3x + 4 para x = -1 2 – Sendo: A = -5x2y3 + 4xy4 – 5x3y2 B = 3x4y – 2xy4 + 3x2y3 C = -3xy4 + x2y3 – 2x4y D = 2x2y3 – 5xy4 + x3y2
Calcular: a) A + C – D b) A+ B – (B + C) c) A – B – (C + D) d) A – (B – C – D) e) B + [A – C – (B + A)] f) A – {B – [-C + (B – A)]}
3 – Calcule os produtos: a) (3x2 – 2x + 1) (4x – 3) b) (x – 1) (x2 + x + 1) c) (a3 – a2 + a) (a + 1) d) (a -1) (a2 – 1) (a + 1) e) (a – b) (2a + b) (b – a) f) (x2 – 2x + 1) (x – 1) (x + 1)
4 – Efetue: a) (6x2y2 + 3x4y – 3x3y2): (3x2y) = b) (10 a2b – 5 a4b3 + 5 a3b4) : (- a2b) c) (xy4 – x3y2 + 3x4y) : (-xy) = d) (3x3 + x2 – x – 3 ) : (x + 2) = e) (x4 – 3x2 + 2) : (x – 1) = f) (x4 – 5x3 + 7x – 1) : (x2 + x – 1) =
RESPOSTAS: a) 18; b)27/5; c) -5/2; d)11/4; e) 5 a) -6x2y3 + 6 xy4 – 6x3y2 – 2x4y b) -6x2y3 + 7xy4 – 5x3y2 + 2x4y
c) -11x2y3 + 14xy4 – 6x3y2 – x4y d) -5x2y3 – 2xy4 – 4x3y2 – 5x 4 y e) 2x4y + 3xy4 – x2y3 f) –x2y3 + 3xy4 + 2x4y 3– a) 12x3- 17x2 + 10x – 3 b) x3 – 1 c) a4 + a
d) a4 – 2 a2 + 1
e) -2 a3 – b3 + 3 a2b f) x4 – 2x3 + 2x - 1
4 – a) x2 + 2y – xy
b) 5 a2b2 – 5 ab3 – 10
c) -3x3 + x2y – y3
d) Q = 3x2 – 5x + 9 R = -21
e)Q = x3 + x2 – 2x – 2
f) Q = x2 – 6x + 7 R = -6x +