Question

divide (8x2+12x+10) by (2x+3)​

Answer 1

$\bigstar$ Correct Question:

• Divide (8x² + 12x + 10) by ( 2x + 3 ) and find the remainder.

$\bigstar$To find:

• Find the remainder when (8x² + 12x + 10) is divided by (2x + 3)

$\bigstar$ Solution:

Here, we can use remainder theorem.

So, 2x + 3 = 0

(By using remainder theorem)

$\implies$ 2x = (-3)

$\implies$ x = (-3)/2

Now,

p(x) = (8x² + 12x + 10)

p(-3/2) = (8(-3/2)² + 12(-3/2) + 10)

= 8 × (9/4) + (-18) + 10

= 18 - 18 + 10

= 10

$\bigstar$Answer:

• Therefore, the remainder is 10.