Find the value of c that makes x^2+20x+c a perfect square trinomial. c=100. Then write the expression as the square of a binomial.

Question

This would really help if you did it step by step

Answer 1

A perfect square trimonial has the form ax² + bx + c AND b² = 4ac.

For x² + 20x + c then a = 1, b = 20, c=c

hence b² = 4ac => (20)(20) = 4(1)(c) => 400 = 4c => c = 100

if x² + 20x + 100

then we know it will factorize (x + 10) (x + 10) = (x + 10)²