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lubasha [3.4K]
3 years ago
11

what value in place of the question mark makes the polynomial below a perfect square trinomial? 9x2+?x+49

Mathematics
2 answers:
Alchen [17]3 years ago
3 0

the missing number should be the square root of the last number times 2 for a perfect trinomial

 so square root of 49 = 7

7*2 =14

 so the missing number should be 14

 

swat323 years ago
3 0
U take the sqrt of the first term, which happens to be 3x...then u take the square root of the 3rd term, which is 7, then u multiply that product by 2....
3x * 7 = 21x.....21x * 2 = 42x

lets check..
9x^2 + 42x + 49 = (3x + 7)^2...correct

so ur middle term will be 42x
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