the product of zeros of quadratic polynomial X^ + 7 x + 10 is equal to ..........
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Step-by-step explanation:
Given -
p(x) = x² + 7x + 10
To Find -
Product of zeroes
Method 1 :-
» x² + 7x + 10
» x² + 2x + 5x + 10
» x(x + 2) + 5(x + 2)
» (x + 5)(x + 2)
Zeroes are -
» x + 5 = 0 and x + 2 = 0
- » x = -5 and x = -2
As we know that :-
- Product of zeroes = αβ
» -5 × -2
- » 10
Hence,
The product of zeroes is 10
Method 2 :-
As we know that :-
- αβ = c/a
» 10/1
- » 10
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hey mate I hope it helps
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