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Construct a quadratic polynomial whose zeroes are 2 and -7. Which polynomial below is correct (with leading coefficient 1)?

Class 10Zeroes of a PolynomialAlgebra — Polynomials

A $x^{2} + 5 x - 14$
B $x^{2} - 5 x - 14$
C $x^{2} + 5 x + 14$
D $x^{2} - 5 x + 14$

Step-by-Step Solution

Sum =

2 + (- 7) = - 5

; product =

2 (- 7) = - 14

. Polynomial =

x^{2}

- (sum)

x

+ product =

x^{2} + 5 x - 14

.

Answer: A)

x^{2} + 5 x - 14

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