Question

If 2 is one of the zero of the polynomial of 2x² – 3x + 1, then find another zero.​

Answer 1

Questions should be:

• If 1/2 is one of the zero of the polynomial of 2x² – 3x + 1, then find another zero.

ANSWER:

• Other zero = 1.

GIVEN:

• P(x) = 2x²-3x+1
• One zero = 2.

TO FIND:

• Zeros of the above polynomial.

SOLUTION:

=> 2x²-3x+1 = 0

=> 2x²-2x-x+1 = 0

=> (2x²-2x)+(-x+1) = 0

=> 2x(x-1)-1(x-1) = 0

=> (x-1)(2x-1) = 0

Either 2x-1 = 0

=> 2x = 1

=> x = 1/2

Either x-1 = 0

=> x = 1

NOTE:

Some important formulas:

(a+b)² = a²+b²+2ab

(a-b)² = a²+b²-2ab

(a+b)(a-b) = a²-b²

(a+b)³ = a³+b³+3ab(a+b)

(a-b)³ = a³-b³-3ab(a-b)

a³+b³ = (a+b)(a²+b²-ab)

a³-b³ = (a-b)(a²+b²+ab)

(a+b)² = (a-b)²+4ab

(a-b)² = (a+b)²-4ab

Answer 2

Answer:

We can use factarisation method