Maths-
General
Easy
Question
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![2 x squared minus 28 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 .
The correct answer is: c = 98
Ans :- c = 98
Given ![2 x squared minus 28 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 = 2 ;b = -28
if the trinomial is a perfect square.
![b squared equals 4 a c not stretchy rightwards double arrow left parenthesis negative 28 right parenthesis squared equals 4 left parenthesis 2 right parenthesis left parenthesis c right parenthesis not stretchy rightwards double arrow 784 equals 8 c](data:image/png;base64,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)
c = 98
∴ c = 98
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![3 x squared plus 24 x plus c](data:image/png;base64,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)
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![3 x squared plus 24 x plus c](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGcAAAARCAYAAADAOrIlAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAi9JREFUeNpjYKAd+A/Fv4D4KBCrMIyCQQeYgDgLiM+NBsXgBT9Gg2BwAnsgPjgaDOQBRyDeBsTfoCn8FhBPAGJhKpgtCa1zlGjgbmsgXgPEn6B12wUgjiZCnw+0PhwSYD8QBwExG5KYARDvoNBcNSDeAo0gWgBQbowEYh4oXwuaECLx6AGpvTaUIgcX+ERhjgHlRj4yW3rkAnkgvoRHfiYQJ9M4cmge8aBi6AYWcZDHOrCIN0PlYAAUMRoD5LkfeIrBvQTsINZ/1HQ/KDd3AfFTaPG8DogFsSkUB+JEaL3jhcOwc1B1MABSPwVHPwcZ0yNyLKFFGzpgg+YoeSLsIMZ/1HI/D9S+VmgpA3JnCbRexBmYBXgM9ADiPijbBSk1DnSxwAHEJ6E5BB2AckMOkXZQ6j9S3A9y1yRiFYOyUwDUk/Z41O2Gyl+gQqvuPxGYGHdvAGI3LHJ6WHITITNJ8R+57gd10F/jKsIIZbeTeOQLoOWj3iCoUJWgEYNriOgkFjlCdlDiP2LdbwrEh2lRsa6BZv3IAY4cUKNjNhBzUZCyqe0/Yt3vBa38SQZ60EYBtlS6CRoYoNx1hkqdVXI8B6q0VwExCxXtoIb/iHW/MY4WMUZnLhTqSSboiMF9II5HUycKbSILo/W2Fw9Q5GyhcnOdWv4jJedfgLbUWKCttQL0Bo0t1KM/oHg/elMO2sQDZUFpLBYsh7Zw6A0oaUD8HyT+k4Vmjj/Qpn4ywygY/AAAS1iqHyTQ1vAAAACddEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjM8L21uPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bW4+MjQ8L21uPjxtaT54PC9taT48bW8+KzwvbW8+PG1pPmM8L21pPjwvbWF0aD7Oa0PnAAAAAElFTkSuQmCC)
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![3 x squared plus 18 x plus 27](data:image/png;base64,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)
Write the factored form of the given expression.
![3 x squared plus 18 x plus 27](data:image/png;base64,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)
Maths-General
Maths-
Describe the pattern in the numbers. Write the next number in the pattern.
1, 3/4 , 1/2 , 1/4 , …
Describe the pattern in the numbers. Write the next number in the pattern.
1, 3/4 , 1/2 , 1/4 , …
Maths-General
Maths-
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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)
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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)
Maths-General
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