Q12 of 82 Page 130

Let us write the zero of the linear polynomial f(x) = 2x + 3.

The polynomial is f(x) = 2x + 3.

The zero of the polynomial means value of x for which f(x) = 0.

So, f(x) = 2x + 3 = 0

2x + 3 = 0

2x = -3

⸫ zero of the polynomial f(x) = 2x + 3 is .

Let us calculate and write the value of a for which x + a will be a factor of the polynomial x³ + ax² – 2x + a – 12.

Let us calculate and write the value of k for which x – 3 will be a factor of the polynomial k²x³ – kx² + 3kx – k.

Let us write the value of f(x) + f(–x) when f(x) = 2x + 5.

Both (x – 2) and are factors of the polynomial px² + 5x + r, let us calculate and write the relation between p and r.