Question

Find the quadratic polynomial the sum and product of its zeros are -1 by (means ÷ ) 4 & 1 by ( means ÷ ) 3
Sum of class 10th
Don't give wrong answer please
and one request is there please solve this question step by step with explanation ​

Answer 1

Step-by-step explanation:

Answer:-

According to the Question

It is given that ,

Sum of zeros = -1/4

Product of zeros = 1/3

We have to calculate the quadratic polynomial .

As we know that quadratic polynomial when the sum and product of its zeros are given by

f(x) = x² -(sum of zeros)x + product of zeros

Substitute the value we get

→ f(x) = x² -(-1/4)x + 1/3

→ f(x) = x² + (1/4)x + 1/3

So, the required quadratic polynomial is

f(x) = x² + (1/4)x + 1/3

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Extra Information !!

• (a + b)² = a² + b² +2ab

• ( a - b )² = a² + b² -2ab

• ( a² - b² ) = ( a - b ) ( a + b )

• ( a +b +c)² = (a² + b² + c²) + 2(ab + bc +ca)

• (a + b)³ = a³ + b³ + 3ab(a+b)

• (a-b)³ = a³ - b³ -3ab(a-b)

• ( a³ + b³) = (a+b) (a²-ab +b²)

• (a³ - b³) = (a -b) (a² + ab + b²)