4x + 1 is a factor of ………….. A) x2 – 16 B) 16x – 3 C) 1

1.	4x + 1 is a factor of ………….. A) x2 – 16 B) 16x – 3 C) 10x – 3 D) 16x2 – 1
Answer» Correct option is D) 16x² – 1 Correct option is (D) 16x² – 1 (A) \(x^2\) - 16 \(=x^2-4^2=(x-4)(x+4)\) \(\therefore\) (4x+1) is not a factor of \(x^2-16\) (B) 4x+1 is not a factor of 16x - 3 (C) 4x+1 is not a factor of 10x – 3 (D) \(16x^2-1=(4x)^2-1^2\) = (4x-1) (4x+1) \(\therefore\) 4x - 1 is a factor of \(16x^2-1\)

4x + 1 is a factor of ………….. A) x2 – 16 B) 16x – 3 C) 10x – 3 D) 16x2 – 1

Answer»

Correct option is D) 16x² – 1

Correct option is (D) 16x² – 1

(A) \(x^2\) - 16 \(=x^2-4^2=(x-4)(x+4)\)

\(\therefore\) (4x+1) is not a factor of \(x^2-16\)

(B) 4x+1 is not a factor of 16x - 3

(D) \(16x^2-1=(4x)^2-1^2\) = (4x-1) (4x+1)

\(\therefore\) 4x - 1 is a factor of \(16x^2-1\)