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Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

lets expand the first two brackets first, so x * x gives x2, x * 2 gives 2x, x * 1 gives x and 1 * 2 = 2. 2x and x are both in terms of x so we add these together to get 3x, giving us the quadr...

AC
Answered by Annunzia C. Maths tutor
27794 Views

f(x) is defined by f(x) = 3*x^3 + 2*x^2 - 7*x + 2. Find f(1).

f(1) = 31^3 + 21^2 - 7*1 + 2 = 3 + 2 - 7 + 2 = 0

DM
Answered by Dragos M. Maths tutor
3191 Views

What is 16^(3/2)

The rule for simplifying indices is to take them one at a time, so separate the problem into 16^(1/2)^3, which is 4^3, which is 64.

JB
Answered by Jonah B. Maths tutor
4094 Views

A curve has equation y = 20x - x^2 - 2x^3 . The curve has a stationary point at the point M where x = −2. Find the x- coordinate of the other stationary point of the curve

A stationary point on a curve is when the differential of the equation of the curve = 0. In other words when dy/dx = 0Take the equation in the question: y = 20x - x2 - 2x3A simple ru...

HJ
Answered by Henry J. Maths tutor
4073 Views

Let a = 4b + 5(c - b). Find the value of c when a = 8 and b = 7.

a = 4b + 5(c - b) - question8 = (4*7) + 5(c - 7) - insert values given in question8 = 28 + 5c -35 - multiply and expand brackets8 - 28 + 35 = 5c - take away 28 from the left and right-hand side of the equ...

GH
Answered by George H. Maths tutor
4078 Views

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