Question

Check whether the polynomial r(x)=x²+3x+5 is
a multiple of 6x+5.

DON'T GIVE WRONG AND UNNECESSARY ANSWERS...

ANSWER THEN ONLY IF YOU KNOWN THE RIGHT ANSWER...

TOPIC : REMAINDER THEOREM

ANSWER WITH EXPLANATION AND STEP BY STEP PROCESS...

ANSWER INCLUDING THE ABOVE CONDITIONS WILL BE THANKED AND MARKED AS BRAINLIEST...​

Answer 1

Answer:

• 6x + 5 is not a factor of r(x) = x² + 3x + 5

Step-by-step explanation:

If 6x + 5 is a factor of r(x) = x² + 3x + 5 then it gives remainder 0 on dividing r(x) = x² + 3x + 5.

Let , 6x + 5 = 0

→ 6x = -5

→ x = -5/6

Then,

r(-5/6) = 0

→ (-5/6)² + 3(-5/6) + 5 = 0

→ 25/36 + (-5/2) + 5 = 0

→ 25/36 - 5/2 + 5 = 0

→ (25 - 90 + 180)/36 = 0

→ (25 + 90)/36 = 0

→ 115/36 ≠ 0

So, 6x + 5 is not a factor of r(x) = x² + 3x + 5