Question

verify whether -2and-1 are zeroes of the polynomial x²+ 3x+2​

Answer 1

Step-by-step explanation:

Let f(x) = x²+ 3x+2

f(-2) = (-2)²+ 3(-2)+2

= 4-6+2

= 6-6

= 0

f(-2) = 0

f(-1) = (-1)²+ 3(-1)+2

= 1-3+2

= 3-3

= 0

f(-1) = 0

-2 and-1 are zeroes of the polynomial x²+ 3x+2 is verified

Answer 2

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⇝ZEROES OF THE POLYNOMIAL :

Let, p(x) be a polynomial. If p(α) = 0 then we say that α is a zero of the polynomial p(x).

⇝REMARK :

Finding the zeroes of a polynomial p(x) means solving the equation p(x) = 0.

⇝REQUIRED SOLUTION :

Let, p(x) = x² + 3x + 2

⇒ p(-2) = (- 2)² + 3(-2) + 2

= 4 + 3 × - 2 + 2 = 0

= 4 - 6 + 2 = 0

= 6 - 6 = 0

= 0 = 0

⇒ p(-1) = (- 1)² + 3(- 1) + 2

= 1 + 3 × - 1 + 2 = 0

= 1 - 3 + 2 = 0

= 3 - 3 = 0

= 0 = 0

∴ - 2 & - 1 are the zeroes of the polynomial x² + 3x + 2 .

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