I don’t know how to solve this question in easy way give me the best way for solving the question of class 9th math of Polynomials chapter of exercise 2.4 of question no.1(4), give me the easiest way for solving this problem Determine which of the following polynomials has (x + 1) a factor:(iv) x3 – x2– (2+√2)x +√2
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Determine which of the following polynomials has (x + 1) a factor:(iv) x3 – x2– (2+√2)x +√2 Q.1(4)
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Let p(x) = x3–x2–(2+√2)x +√2
The zero of x+1 is -1.
p(−1) = (-1)3–(-1)2–(2+√2)(-1) + √2 = −1−1+2+√2+√2
= 2√2 ≠ 0
∴By factor theorem, x+1 is not a factor of x3–x2–(2+√2)x +√2