Maths-
General
Easy
Question
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![6 x squared minus 36 x plus c](data:image/png;base64,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)
Hint:
using condition
in the trinomial to find c which makes the trinomial the perfect square. Ans :- c = 54
The correct answer is: c = 54
Given , ![6 x squared minus 36 x plus c text comparing it with end text a x squared plus b x plus c](data:image/png;base64,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)
Here ![a equals 6 semicolon space b equals negative 36](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG8AAAAPCAYAAADqMZE6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAipJREFUeNrtmFFEQ1EYx6/J9JAxSbKHSJIe0kuSmURPSSaS7CETPfSUXnqYSXpP9pYe0kPGZA/J9JKkp0iSHmakp8n0Nsk1o75v/pfrumu7596z7bA/P7bj3s93vu+c73znalr7NE1kiDKhE1fEnKCtH8KnqaF5Igefed4F4pjob0GcPNEWnBjD/wARIx4EbI0Sr5o6uiNWCL9pbIq4kRwnTzRBPHloL0qkNfVVdhMnLjsHRImoEC/EsAQnT4h1D+3tEwn4/onSwqt7SKHEjRB5N3G6JlJEEInMYFXX028T2CnfZGDTsBFt8Bz7+U7smXw/arAbRX33WoNEHOfeomCcahnOWMbObQx6IR01PItDu4LyEBNMXgElxqyATRnqJFkXyo6LONXKzKxl7F5S2WRnn7EwerBTwkjCtkNbPkzMqt4WJM+L3RvE4ny06SCbjpO11ebf35Kc56CGbMa54yo6DOAMFp5VvBBvFSibhvqQQKE4fVkeCCPrMpT7505WcWiLy/2ZzfgukVSs29RF41REqTHEE7+U5CRv+TWb8XGb1ddIKRz4Zvlx71Op25xEORSK0yFaUx/OuQtkXob8OE83UcuN8scBX3DYsGQxaeO9EMbiHZwonvuq6RzjLy4fxIZgnGpKoONMYheWmuj0RDVAnOJcrcLJiEC3yT4uI4FV3E2jHb7LIriW6aY76ZKLONV9sd1KS7qudCVZ3FW9mUpGVwophC8QXdXRH414ukot5KTiAAAApnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5hPC9taT48bW8+PTwvbW8+PG1uPjY8L21uPjxtbz47PC9tbz48bW8+JiN4QTA7PC9tbz48bWk+YjwvbWk+PG1vPj08L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjM2PC9tbj48L21hdGg+1D5r6AAAAABJRU5ErkJggg==)
if the trinomial is a perfect square.
![b squared equals 4 a c not stretchy rightwards double arrow left parenthesis negative 36 right parenthesis squared equals 4 left parenthesis 6 right parenthesis left parenthesis c right parenthesis not stretchy rightwards double arrow 1296 equals 24 c](data:image/png;base64,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)
![c equals 54](data:image/png;base64,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)
∴ c = 54
Related Questions to study
Maths-
Make and test a conjecture about the sum of two even numbers
Make and test a conjecture about the sum of two even numbers
Maths-General
Maths-
Write the factored form of the given expression.
![4 x squared minus 56 x plus 196](data:image/png;base64,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)
Write the factored form of the given expression.
![4 x squared minus 56 x plus 196](data:image/png;base64,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)
Maths-General
Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![x squared minus 10 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![x squared minus 10 x plus c](data:image/png;base64,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)
Maths-General
Maths-
Make and test a conjecture about the number of diagonals of a pentagon. Write a conjecture for the general case.
Make and test a conjecture about the number of diagonals of a pentagon. Write a conjecture for the general case.
Maths-General
Maths-
Make and test a conjecture about the sum of numbers from 1 to 7. Write a conjecture for the general case.
Make and test a conjecture about the sum of numbers from 1 to 7. Write a conjecture for the general case.
Maths-General
Maths-
Make and test a conjecture about the square of even numbers.
Make and test a conjecture about the square of even numbers.
Maths-General
Maths-
Make and test a conjecture about the square of odd numbers.
Make and test a conjecture about the square of odd numbers.
Maths-General
Maths-
Make and test a conjecture about the sign of the product of any two negative integers
Make and test a conjecture about the sign of the product of any two negative integers
Maths-General
Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![x squared plus 24 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![x squared plus 24 x plus c](data:image/png;base64,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)
Maths-General
Maths-
Is the expression
factorable using integer coefficients and constants? Explain why or why not?
Is the expression
factorable using integer coefficients and constants? Explain why or why not?
Maths-General
Maths-
Given four 6 collinear points, make a conjecture about the number of ways to connect different pairs of points
Given four 6 collinear points, make a conjecture about the number of ways to connect different pairs of points
Maths-General
Maths-
Identify the missing terms.
![x squared plus 11 x plus 24 equals left parenthesis ? plus 3 right parenthesis left parenthesis x plus ? right parenthesis](data:image/png;base64,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)
Identify the missing terms.
![x squared plus 11 x plus 24 equals left parenthesis ? plus 3 right parenthesis left parenthesis x plus ? right parenthesis](data:image/png;base64,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)
Maths-General
Maths-
Describe the pattern in the numbers 9.001, 9.010, 9.019, 9.028, ... and write the next three numbers in the pattern.
Describe the pattern in the numbers 9.001, 9.010, 9.019, 9.028, ... and write the next three numbers in the pattern.
Maths-General
Maths-
Describe the pattern in the numbers 5, 15, 45, 135, ... and write the next three numbers in the pattern
Describe the pattern in the numbers 5, 15, 45, 135, ... and write the next three numbers in the pattern
Maths-General
Maths-
Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure.
![](data:image/png;base64,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)
Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure.
![](data:image/png;base64,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)
Maths-General