Polynomials
Grade Class 10
Question:
<p>The zeroes of the polynomial p(x) = x<sup>2</sup> + 3x + 2 are given as.</p>
<p style="display:inline">-2, 1</p>
<p style="display:inline">2, -1</p>
<p style="display:inline">1, 2</p>
<p style="display:inline">-2, -1</p>
Step-by-Step Solution
Key Concept: To find the zeroes of a quadratic polynomial, equate the expression to zero and solve for x by factorizing the quadratic trinomial through methods like splitting the middle term.
<p>P(x) = x<sup>2</sup> + 3x + 2= 0<br />
x<sup>2</sup> + 2x + x + 2 = 0<br />
x(x + 2) + 1(x + 2) = 0<br />
(x + 1)(x + 2) = 0<br />
x = -1, -2<br />
hence, -1 & -2 are the zero of P(x)</p>
Correct Answer: D