Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

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

Write the factored form of the given expression.
$4 x squared minus 56 x plus 196$

hint Hint:

taking out the common terms and using $a squared minus 2 a b plus b squared equals left parenthesis a minus b right parenthesis squared$ find the solution.

The correct answer is: 4(x-7)2 is the factorized form of the given expression.

Ans:- 4(x-7)² is the factorized form of given expression.
Given, $4 x squared minus 56 x plus 196$
Taking out 4 as common factor we get $4 open parentheses x squared minus 14 x plus 49 close parentheses$
Write $49 text as (7) end text right parenthesis squared text and end text 14 x text as end text 2 left parenthesis x right parenthesis left parenthesis 7 right parenthesis text then we get end text 4 open parentheses left parenthesis x right parenthesis squared minus 2 left parenthesis x right parenthesis left parenthesis 7 right parenthesis plus 7 squared close parentheses$
Applying $a squared minus 2 a b plus b squared equals left parenthesis a minus b right parenthesis squared text formula here end text a equals x semicolon b equals 7$
We get $4 x squared minus 56 x plus 196 equals 4 left parenthesis x minus 7 right parenthesis squared$ .
∴ 4 (x - 7)² is the factorized form of the given expression.

Related Questions to study

Identify the value of c that makes the trinomial factorable using the perfect square pattern.
$x squared minus 10 x plus c$

Identify the value of c that makes the trinomial factorable using the perfect square pattern.
$x squared minus 10 x plus c$

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.

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.

parallel

Make and test a conjecture about the square of even numbers.

Make and test a conjecture about the square of even numbers.

Make and test a conjecture about the square of odd numbers.

Make and test a conjecture about the square of odd numbers.

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

parallel

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

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

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

parallel

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.
$x squared plus 11 x plus 24 equals left parenthesis ? plus 3 right parenthesis left parenthesis x plus ? right parenthesis$

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

parallel

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.

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

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

$4 x squared minus 9$

$4 x squared minus 9$

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.