3 years ago

I don't understand this question can anyone help

Mathematics

1 answer:

DiKsa [7]3 years ago

4 0

18m+6n
( factor out 6 from the expression )
6(3m+n)

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Express as a trinomial (x-10)(x+2)

Norma-Jean [14]

(x-10)(x+2)

x^2-10x-20

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3 years ago

Determined if the graph represents a polynomial function if it does determine the number of turning points and the least degree

skelet666 [1.2K]

<em>The graph of f is a polynomial function</em>
<em>There are two turning points, namely, x = 0 and x = -2</em>

<h2>Explanation:</h2>

A polynomial function in one variable is given by the form:

$f(x)=a_{n}x^n+a_{n-1}x^{n-1}+\cdots +a_{2}x^2+a_{1}x+a_{0}$

Since you haven't provided any expression, I'll choose the following function:

$f(x)=x^{3}+3x^{2}+3$

So this is indeed a polynomial function. A turning point is an x-value where we have either a local maximum or local minimum. So we need to take the derivative of this functions:

$f'(x)=3x^2+6x \\ \\ Finding \ turning \ points: \\ \\ 3x^2+6x=0 \\ \\ x(3x+6)=0 \\ \\ \\ So: \\ \\ x=0 \\ \\ and \\ \\ \ 3x+6=0 \therefore \ \boxed{x=-2}$