Question

find the zeros of 4x^2-3x-7​

Answer 1

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Given to find the zeros of Quadratic polynomial :-

4x² - 3x -7

SOLUTION:-

Here the  product of two numbers should be -28 And sum of two numbers should be -3

-7 × 4 = -28

-7 + 4 = -3

So, split the middle term as  -7x + 4x

4x² - 3x -7

4x² -7x + 4x - 7

4x² + 4x -7x -7

4x( x +1 ) -7 (x + 1)

(x + 1 )(4x -7)

Finding zeros of Quadratic polynomial:-

x + 1 = 0

x = -1

4x - 7 = 0

4x = 7

x = 7/4

So, the value of x are -1 , 7/4

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KNOW MORE :-

• A quadratic polynomial has two zeros
• We can find the two zeros by various methods like factorization method , quadratic formula , complete squaring
• We can find the nature of roots that means roots are real/complex/distinct /equal we can find by discriminant of quadratic polynomial