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

z^2-5z+cy^2-12y+c

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z2 - 5z + c...................(z-2.5)(z-2.5)......z2 - 5z + 6.25....

You are watching: Find the value of c that makes the expression a perfect square trinomial

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.


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