Question

the quadratic polynomial f(x) =x² +7x +10 . then its zeroes are___________

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Answer 1

Given Quadratic Polynomial → x² + 7x + 10

To find zeroes of a quadratic polynomial, we need to factorize the polynomial.

So, we have to find 2 numbers which

• when multiplied becomes 10
• when added becomes 7

Those 2 numbers are 5 and 2

x² + 7x + 10 = 0

➥ x² + 2x + 5x + 10 = 0

➞ x(x + 2) + 5(x + 2) = 0

➝ (x + 5) (x + 2) = 0

Now,

• (x + 5) = 0

→ x = -5

• (x + 2) = 0

→ x = -2

So, the zeroes or roots of the equation are -5 and -2

∴ Zeroes of the equation = -5, -2