Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Identify the value of c that makes the trinomial factorable using the perfect square pattern.
$x squared plus 24 x plus c$

hint Hint:

using condition $b squared minus 4 a c equals 0$ in the trinomial to find c which makes the trinomial the perfect square. Ans :- c = 144

The correct answer is: c = 144

Given , $x squared plus 24 x plus c text comparing it with end text a x squared plus b x plus c$
Here $a equals 1 semicolon space b equals 24$
$b squared minus 4 a c equals 0 text if the trinomial is a perfect square. end text$
$b squared equals 4 a c not stretchy rightwards double arrow 24 squared equals 4 left parenthesis 1 right parenthesis left parenthesis c right parenthesis not stretchy rightwards double arrow 12 squared cross times 2 squared equals 4 c$
∴ c = 144

Related Questions to study

Is the expression $3 x squared minus 49$ factorable using integer coefficients and constants? Explain why or why not?

Is the expression $3 x squared minus 49$ factorable using integer coefficients and constants? Explain why or why not?

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

Identify the missing terms.
$x squared plus 11 x plus 24 equals left parenthesis ? plus 3 right parenthesis left parenthesis x plus ? right parenthesis$

Identify the missing terms.
$x squared plus 11 x plus 24 equals left parenthesis ? plus 3 right parenthesis left parenthesis x plus ? right parenthesis$

parallel

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.

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

Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure.

Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure.

parallel

What is the factored form of
$6 x squared minus 60 x plus 150$

What is the factored form of
$6 x squared minus 60 x plus 150$

$4 x squared minus 9$

$4 x squared minus 9$

The area of a rectangular rug is $49 x squared minus 25 y squared$ . Use factoring to find possible dimensions of the rug. How are the side lengths related? What value would you need to subtract from the longer side and add to the shorter side for the rug to be a square?

The area of a rectangular rug is $49 x squared minus 25 y squared$ . Use factoring to find possible dimensions of the rug. How are the side lengths related? What value would you need to subtract from the longer side and add to the shorter side for the rug to be a square?

parallel

Tom has a large cone-shaped pinata hung from a tree. The height and radius of the pinata are 8 inches and 1 foot respectively. What is the volume of the pinata? Round your answer to two decimal places. (use π = 3.14)

Tom has a large cone-shaped pinata hung from a tree. The height and radius of the pinata are 8 inches and 1 foot respectively. What is the volume of the pinata? Round your answer to two decimal places. (use π = 3.14)

Level: Medium
i) $100 minus 16 y squared$

Level: Medium
i) $100 minus 16 y squared$

The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)

The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)

parallel

For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)

For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)

In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
$x squared minus 20 x plus 100$

In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
$x squared minus 20 x plus 100$

A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?

A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.