Question

x^2 +7x+10 find the zeroes of the polynomial
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Answer 1

Find the zeroes of the quadratic polynomial x + 7x + 10, and verify the relationship between the zeroes and the coefficients.

Let p(x) = x + 7x + 10

Zero of the polynomial is the value of x where p(x) = 0

Putting p(x) = 0

x + 7x + 10 = 0

We find roots using splitting the middle term method

x + 2x + 5x + 10 =0

x(x + 2) + 5x + 2) = 0

(x + 2)(x + 5) = 0

So x = -2, -5

Therefore,

a = -2 & B=-5 are the zeroes of polynomial