Question

Which expression is a factor of 9r2 – 4r + 1? F3r-1 Gr 1 H 9741 3 There are no real factors.

Answer 1

There are no real factors

Here, we want to factorize the given expression

To check if there are real factors, we will need to get the determinant

mathematically, we have this as;

$D=b^2-4ac$

where a is 9, b is -4 and c is 1

Substituting these values;

$D=(-4)^2-4(9)(1)\text{ = 16-36 = -20}$

As we can see, the value of the determinant is negative

Whenever the determinant value is negative, there are no real roots