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By the Factor Theorem, for which value of a is $(x - a)$ a factor of $p (x) = x^{2} - 7 x + 10$ , given a is the smaller root?

Class 9Factor Theorem and FactorisationPolynomials

A2
B1
C4
D3

Step-by-Step Solution

x^{2} - 7 x + 10 = (x - 2) (x - 5)

. Roots are 2 and 5; the smaller is 2, so

(x - 2)

is a factor.

Answer: A) 2

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