Question

x2+3x+1 in the form of (x+p)2+q​

Answer 1

Given polynomial; p(x) = x² + 3x + 1

To be represented in the form of (x+p)²+q

Thus ;

• x² + 3x + 1
• x² + 3x + 1 ± x
• x² + 2x + 1 + x
• (x)² + 2(x × 1) + (1)² + x. { using (a+b)² = a² + 2ab + b² }
• (x+1)² + x

Thus the polynomial p(x) is written in the form of (x+p)² + q where;

• p = 1
• q= x

#answerwithquality

#BAL