Question

find all the zeros of 4x4 -20x3 + 5x - 6 if two of its zeroes are 2 and 3​

Answer 1

Answer:

1/2,-1/2

Step-by-step explanation:

Dividing 4x⁴-20x³+5x-6by(x-2)(x-3), we get:

• 4x²-1=0
• x²-1/4=0
• x²=1/4
• x=+-1/2

Answer 2

Since two zeroes are 2 and 3.

                 ∴ (x – 2)(x – 3) is a factor of given polynomial.

                 ⇒ x2 – 5x + 6 is a factor of given polynomial.

                 Now

                 

                 ∴ 4x4 – 20x3 + 23x2 + 5x – 6

                 = (x2 – 5x + 6)(4x2 – 1)

                 = (x – 2)(x – 3)(2x – 1)(2x + 1)

                 ∴ Zeroes of the given polynomial are