Which polynomial is a perfect square trinomial?
9x2 − 12x + 4
36b2 − 24b + 16
16x2 − 24x − 9
4a2 − 10a − 25
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jigglypuff314 (jigglypuff314):
perfect square trinomial: x^2 - 2xy + y^2
OpenStudy (anonymous):
what exactly is a perfect square?
jigglypuff314 (jigglypuff314):
16 is a perfect square because 4*4 = 16
9 is a perfect square because 3*3 = 9
6 is not a perfect square because there is not integer multiplied by itself that gives you 6
OpenStudy (anonymous):
What is a polynomial? @jigglypuff314
jigglypuff314 (jigglypuff314):
suffix -nomial means function with one or more variables
prefix poly- means two or more
so polynomial means a function with two or more variables
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OpenStudy (anonymous):
9x2 − 12x + 4
jigglypuff314 (jigglypuff314):
yes :)
OpenStudy (anonymous):
so is the answer B?
jigglypuff314 (jigglypuff314):
9x^2-12x+4 is the correct answer
OpenStudy (anonymous):
9x2 − 12x + 4
so it's like 9 times 2 is 18 -12 and that's 6 plus 4 is 10? and 10 is a perfect square?
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jigglypuff314 (jigglypuff314):
10 is not a perfect square
perfect square trinomial: x^2 - 2xy + y^2
meaning: x*x - 2xy + y*y
9x^2 - 12x + 4 is the correct answer because
3x*3x - 2*3x*2 + 2*2 which fits the format