Asked by Shailee Woods on May 06, 2024

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What term should be added to t2+11tt ^ { 2 } + 11 tt2+11t to make it a perfect square trinomial?

A) 4121\frac { 4 } { 121 }1214
B) 1214\frac { 121 } { 4 }4121
C) 114\frac { 11 } { 4 }411
D) 121
E) 11

Perfect Square Trinomial

A polynomial of the form \(a^2 + 2ab + b^2\) or \(a^2 - 2ab + b^2\), where the square of the first term plus/minus twice the product of the first and second term plus the square of the second term.

  • Comprehend the method for converting a quadratic expression into a perfect square trinomial.
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JM
Janet MuchiriMay 09, 2024
Final Answer :
B
Explanation :
To make t2+11tt^2 + 11tt2+11t a perfect square trinomial, you need to add (112)2=1214(\frac{11}{2})^2 = \frac{121}{4}(211)2=4121 .