Write the polynomial whose zeroes are 5 and 4

Asked by admin @ 20/08/2021 in Math viewed by 310 People

Find a quadratic polynomial whose zeroes are -5and 4

Answered by admin @ 20/08/2021

Answer :-

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Given ,

The zeros of the polynomial are - 5 and 4

Let , the quadratic polynomial be ax² + bx + c

Now we know ,

( i ) The sum of the zeros = - b / a

=> ( - 5 ) + 4 = - b / 1 [ • Scene here , a = 1 ]

=> - 1 = - b

=> b = 1

( ii ) The product of the zeros = c / a

=> ( - 5 ) × 4 = c / 1 [ • Scene here , a = 1 ]

=> - 20 = c

=> c = - 20

• Therefore the quadratic polynomial is

ax² + bx + c

= x² + 1 × x + ( - 20 )

= x² + x - 20 [ ★ Required answer ]

_______________________________

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Write the polynomial whose zeroes are 5 and 4

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