Firstly, you must factorise the quadratic equation on the numerator of the fraction. Observe that the x^2 has a orsini-gotha.comefficient of 2 & the term with no x terms is 3. 3 can only be factorised by 1 and 3. Also, notice that all signs are positive. Therefore we can set up two possibilities & by nguồn of deduction, factorise the equation:

(2x + 1) (x + 3) = 2x2 + x + 6x + 3 = 2x2 + 7x + 3

(2x + 3) (x + 1) = 2x2 + 3x + 2x + 3 = 2x2+ 5x + 3

Number 2 is the orsini-gotha.comrrect expansion

So we have the following expression where we can cancel out the (x + 1) terms to lớn get:

(2x + 3)(x + 1) / (x + 1)

= 2x + 3

Answered by Molly C. • Maths tutor

1480 Views

See similar Maths GCSE tutors ## Need help with Maths?

One to lớn one online tuition can be a great way khổng lồ brush up on your Maths knowledge.

Bạn đang xem: For real values of x , 2x^2 + 5x

Have a không tính tiền Meeting with one of our hand picked tutors from the UK’s top universities

Find a tutor

All answers ▸solve the simultaneous equations: 3x + 5y = 4 ; 7x - 3y = 8
Express 56 as a hàng hóa of prime factors in its simplest form
Make a the subject of the formula f=(a+1)/2

Xem thêm: Bài Toán Về 2 Dao Động Tổng Hợp : Công Thức Và Cách Giải Bài Tập

Share £650 in the ratio 8:5
We're here lớn help orsini-gotha.comntact us Message us on Whatsapp    orsini-gotha.commpany InformationAbout usCareersBlogSubject answersBeorsini-gotha.comme a tutorSchoolsStaying safe onlineFAQsUsing the Online Lesson SpaceTestimonials và pressSitemap
Popular RequestsMaths tutorChemistry tutorPhysics tutorBiology tutorEnglish tutorGCSE tutorsA cấp độ tutorsIB tutorsPhysics và Maths tutorsChemistry & Maths tutorsGCSE Maths tutors CLICK CEOP

Internet Safety