Question

Divide 6x⁴ - 8x³ + 17x² + 21x + 7 by 3x² + 4x + 1 ​

Answer 1

Step-by-step explanation:

6x⁴- 8x³+17x²+21x+7

is not divisible by 3x²+4x+1 becouse

3x²+4x+1= (x+1) (3x+1) therefore according to

divisibility rule

x+1=0=> x=. -1 substituting in the given

polynomial it must be zero

now try it

6×(-1)⁴-8(-1)³+17x(-1)²+21(-1)+7

= 6+8+17-21+7

= 38-21

= 17 ≠ 0

Therefore the given polynomial is not divisible by 3x²+4x+1