Question

what number should be subtracted from 3x^2 + 5x so that the resulting polynomial leaves the remainder 1 when divided by 2x + 5 ?

Answer 1

The answer is 21/4 should be subtracted.

Hope it helps you

Answer 2

Answer:

y=21/4

Step-by-step explanation:

p(x) = y

(3x^2+5x)+y=(q)*(2x+5)+1

DIVIDER = Q*DIVISER + R IS DIVISIBLE BY 2X+5

2X+5=0

2X= -5

X=-5/2

3[-5/2]^2 + 5 [-5/2]+y = (q)(x-5/2+5)

3*25/4-25/2+y=(g*0)+1

75/4-25/2+y=1

75-50/4+y=1

25/4+y=1

y=1-25/4

=>4-25/4=-21/4