a.) simplify and expand (x+3)(2x+5) b.) differentiate (x+3)(2x+5) c.) where does this function intercept the x and y axis? d.) does this function have any turning points? if so where?

a.) simplify and expand (x+3)(2x+5) Expand using "crab claw" (better known as foil) => 2x^2 + 5x + 6x + 15 Simplify => 2x^2 +11x + 15 b.) differentiate (x+3)(2x+5) Using part a,  dy/dx= 4x +11 c.) where does this function intercept the x and y axis? Factorise answer to part a.  Since we had to expand the factorised answer to part a, we know that our function crosses the x axis when x= -3 and x=-5/2 or -2.5 Substitute value of x= 0 into function to find y intercept => y=15 d.) does this function have any turning points? if so where? dy/dx=0 4x+11=0 4x=-11 x=-11/4 y=-1/8.  Therefore it has a turning point at (-11/4, -1/8)

CH
Answered by Calvin H. Maths tutor

3371 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

David travels from home to work at 30 mph. At the end of the day, he travels from work back home via the same route at 40 mph. What is his average speed while travelling? (Give your answer as a simplified fraction) (None-Calculator)


The area of this rectangle is 56 cm2 length = 3k+2 and width = 7 - Find the value of k


Make x the subject of the formula: y=(x+5w/2)^0.5


Given a right-angled triangle with an angle of 35 degrees and an Opposite side of 12cm, calculate the length of the hypotenuse to 3 significant figures.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences