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Show that (x + 4)(x + 5)(x + 6) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

=(x+4)(x2+6x+5x+30)=(x+4)(x2+11x+30)=x3+11x2+30x+4x2+44x+120=x3+15x2+74x+120

JZ
Answered by Jiawen Z. Maths tutor
2534 Views

Solve for x and y using these simultaneous equations: 2x + 3y = 21, y = 2x - 1

Substitute y = 2x - 1 into the first equation.

2x + 3(2x -1) = 21

2x + 6x - 3 = 21

8x = 24

x = 3

Therefore y = 2(3) - 1 = 5

AL
Answered by Alexandra L. Maths tutor
2251 Views

factorise x^3 + 3x^2 - 13x - 15

For convience we can call the polynomial f(x). Using the fact that the product of the roots of a polynomial equals the constant term, we know that the product of the roots is -15. We can therefore guess a...

BI
Answered by Ben I. Maths tutor
5207 Views

The Diagram shows the Triangle PQR. PQ = x cm. PR = 2x cm. Angle QP^R = 30 degrees. The area of the triangle PQR = A cm^2. Show that x = (Squared Root){2A

Area of a Triangle Formula is
A = 1/2 abSINc
Label the sides of the triangle PR = 2x = a PQ = x = b
1/2 (x) 2x (x) x (x) SINc = A = x2 SINc
Rearrange the equation to give...

TD
Answered by Tutor305386 D. Maths tutor
10014 Views

I am thinking of two numbers. When I add my numbers, the answer is 1 When I multiply my numbers, the answer is 0.09 What are my numbers?

think of ways to add up 1.
0.5 x 20.4 and 0.60.3 and 0.70.2 and 0.80.1 and 0.9 then multiply them and you'll find the last one to be correct

OB
Answered by Omar B. Maths tutor
10959 Views

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