Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
397 views
in Factorization by (36.4k points)
closed by

Resolve each of the following quadratic trinomials into factors:

 7x - 6 - 2x2

2 Answers

+1 vote
by (38.0k points)
selected by
 
Best answer

7x - 6 - 2x2 = - 2x2 + 7x – 6

Here, coefficient of x2 = - 2, coefficient of x = 7 and constant term = -6

We shall now split up the coefficient of x i.e., 7 into two parts whose sum is 7 and product is - 2 x - 6 = 12

Clearly,

4 + 3 = 7 and

4 x 3 = 12

So, we write middle term 7x as 4x + 3x

Thus, we have

- 2x2 + 7x – 6 = - 2x2 + 4x + 3x – 6

= - 2x (x – 2) + 3 (x – 2)

= (x – 2) (3 – 2x)

+1 vote
by (90 points)

f(x)=-2x2+7x-6

=>-f(x)=2x2-7x+6

=>-f(x)=2x2-3x-4x+6

=>-f(x)=x(2x-3)-2(2x-3)

=>-f(x)=(2x-3)(x-2)

=>f(x)=(2x-3)(2-x)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...