If 1 is a zero of the polynomial a x2-3a-1 x-1- then find the value of a-

Given: x = 1 is one zero of the polynomial ax2 minus; 3(a minus; 1) x minus; 1 Therefore, It will satisfy the above polynomial. Now, we have a12 3a 11 ...

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Mathematics

Formation of a Quadratic Equation From It's Roots

If 1 is a zer...

Question

If 1 is a zero of the polynomial ax² − 3(a − 1) x − 1, then find the value of a.

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Solution

Given: x = 1 is one zero of the polynomial ax² − 3(a − 1) x − 1
Therefore, It will satisfy the above polynomial.
Now, we have
$a {(1)}^{2} - 3 (a - 1) 1 - 1 = 0 \Rightarrow a - 3 a + 3 - 1 = 0 \Rightarrow - 2 a = - 2 \Rightarrow a = 1$

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If 1 is a zero of the polynomial ax2 − 3(a − 1) x − 1, then find the value of a.

Given: x = 1 is one zero of the polynomial ax2 − 3(a − 1) x − 1 Therefore, It will satisfy the above polynomial. Now, we have a12-3a-11-1=0⇒a-3a+3-1=0⇒-2a=-2⇒a=1

If 1 is a zero of the polynomial ax² − 3(a − 1) x − 1, then find the value of a.

Given: x = 1 is one zero of the polynomial ax² − 3(a − 1) x − 1
Therefore, It will satisfy the above polynomial.
Now, we have
$a {(1)}^{2} - 3 (a - 1) 1 - 1 = 0 \Rightarrow a - 3 a + 3 - 1 = 0 \Rightarrow - 2 a = - 2 \Rightarrow a = 1$