Question

class 9 ch polynomials


if -1 is a zero of the polynomial p(x)=ax^3-x^2+x+4 the find the value of a

Answer 1

Step-by-step explanation:

$a {x}^{3 } - {x}^{2} + x + 4 = 0 \\ \\ .....for \: x = - 1....... \\ \\ we \: get...... \\ \\ a( { - 1)}^{3} - ( { - 1)}^{2} - 1 + 4 = 0\\ \\ a( - 1) - (1) + 3 = 0\\ \\ - a + 2 = 0 \\ \\ a = 2$

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