The two zeroes of a quadratic polynomial (with leading coefficient 1) are marked on the number line shown below. Use their positions to determine the polynomial.
Class 10Zeroes and CoefficientsAlgebra — Polynomials
Ax2−x−6
Bx2+x−6
Cx2−5x+6
Dx2+5x+6
Step-by-Step Solution
Zeroes are -2 and 3. Sum = 1, product = -6. Polynomial = x2−(1)x+(−6)=x2−x−6.
Answer: A) x2−x−6
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