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The line y=5-x intersects the curve y=x^2-3x+2 at the points P and Q. Find the (x,y) coordinates of P and Q.

Step 1: To find the points of intersection, we must find where the y and x values are equal. Therefore 5-x=x 2 -3x+2 where the y-values are equal. Step 2: Rearrange the above into the quadratic equation x 2 ...
GB
Answered by Georgina B. • Maths tutor
22468 Views

Please sketch and factorize the quadratic 3x^2+10x+3.

The coefficient - which is a posh word for 'the bit in front' - of x^2 is in this case not 1. Thus, the quadratic formula must necessarily be used. All quadratics come in the form of ax^2+bx+c. Here, a, b, a...
JH
Answered by Jack H. • Maths tutor
3676 Views

Make F the subject of the formula: C= 5(F-32) / 9

The first step to making F the subject of this formula is multiplying both sides by 9 to get rid of the denominator on the right hand side. Therefore, 9C= 5(F-32) 2. Secondly, we have to divide both sides by...
SH
Answered by Sofia H. • Maths tutor
24279 Views

The polynomial p(x) is given by p(x)=x^3 - 5x^2 - 8x + 48. Given (x+3) is a factor of p(x), express p(x) as a product of 3 linear factors.

This answer is easiest explained using the whiteboard in the interview. The question is basically asking for algebraic long division, we know (x+3) is a factor and are tasked with finding the other 2. We can...
RM
Answered by Richard M. • Maths tutor
4583 Views

Expand and simplify the following: (2x+3)(2x+5)

Expanding this expression means multiplying the contents of the first bracket by the contents of the second. An easy way to remember this is using the FOIL method. FOIL stands for First, Outside, Inside, Las...
RM
Answered by Richard M. • Maths tutor
6976 Views