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Mathematics · Polynomials · NCERT Examples

Example 2

A complete, independently verified solution for NCERT Example 2.

Mathematics · Chapter 2 · NCERT Examples

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NCERT Example

Example 2

quadratic polynomials · zeroes and coefficients

Find the zeroes of the quadratic polynomial x² + 7x + 10, and verify the relationship between the zeroes and the coefficients.

Solution

x2+7x+10=(x+2)(x+5)x^2+7x+10=(x+2)(x+5)

Thus the zeroes are −2 and −5.

(−2)+(−5)=−7=−ba(-2)+(-5)=-7=-\frac{b}{a}
(−2)(−5)=10=ca(-2)(-5)=10=\frac{c}{a}

Final answer

The zeroes are −2 and −5; their sum is −7 and product is 10.