Question

Bantuin dong materi Polinomial Matematika Peminatan
Diketahui


Tentukan nilai a,b,c,p,q

Answer 1

Jawabab terlampir

salam semangat

Answer 2

x⁴+3x³-x²+5x-10 = (ax²+bx+c)(x²+2x-1)+px+q

= ax⁴+2ax³-ax²+bx³+bx²-2bx+cx²+2cx-c + px+q

1.x⁴+3x³-1.x²+5x-10 = ax⁴ + (2a+b)x³ - (a-2b-c)x² -(b-2c-p)x - (c-q)

samakan koefisien x nya :

a = 1

2a+b = 3

2.1+b = 3

b = 1

-(a-2b-c) = -1

1 - 2.1 - c = 1

-1-c = 1

c+1 = -1

c = -2

-(b-2c-p) = 5

1 - 2.(-2) - p = -5

1+4-p = -5

5-p = -5

p-5 = 5

p = 10

- (c-q) = -10

c-q = 10

-2-q = 10

2+q = -10

q = -12

a = 1, b = 1, c = -2, p = 11, q = -12