Question

10.Find the zeros of the quadratic
polynomial given below and verify the
relation between their zeros and
coefficients
x2 + 5x – 24
your answer​

Answer 1

Solution

Given :-

• Equation, x² + 5x - 24 = 0

Find :-

• Zeroes of this equation,
• Verified relation between their zeros.

Explanation

Let,

• First zeroes be A
• Second zeroes be B.

Then,

➡x² + 5x - 24 = 0

➡x² + 8x - 3x - 24 = 0

➡x(x+8) - 3(x - 8) = 0

➡(x+8)(x-3) = 0

➡(x + 8) = 0 , (x - 3) = 0

➡x = -8 , Or, x = 3

Thus,

• First zeroes be = A = -8
• Second Zeroes be = B = 3

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Now, Calculate relationship .

➡ Sum of zeroes = -(Coefficient of x)/(coefficient of x²)

➡ A + B = -5/1

➡ A + B = -5

And,

➡Product of zeroes = Constant part)/(coefficient of x²)

➡ A. B = -24/1

➡A.B = -24

That's relation between zeroes & coefficient .

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