Find the value of c that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial

Question

1. z^2-5z+c
2. y^2-12y+c

Answer 1

We can write the square trinomial into (a+b)² = a²+2ab+b²

1. if a=z in this question, then -5=2b, c=b²

so we can get b=-5/2, and c = 25/4

and the expression will be written into z²-5z+25/4 = (z-5/2)²

2.same for this one. -12=2b, c=b²

so b=-6, c=36, the expression will be written into (y-6)²

Answer 2

Find the value of c that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial

1. z^2-5z+c
2. y^2-12y+c

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z² - 5z + c...................(z-2.5)(z-2.5)......z² - 5z + 6.25....trinomial means 3 terms...as shown

PERFECT BINOMIAL SQUARE.....binomial meaning 2 terms.....we have (z-2.5)²

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y² - 12y + c.................(y-6)(y-6)..........y² - 12y + 36......(y-6)²

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ax² + bx + c......so given this square trinomial shown..where..you are looking for values where

value1 + value2 = b and value1 * value2 =c and for perfect squares value1=value2=√c.