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Evgesh-ka [11]
2 years ago
15

Factor the expression x2 – 9x + 14

Mathematics
2 answers:
Anna [14]2 years ago
7 0
X² - 9x + 14
x² - 2x - 7x + 14
x (x - 2) -7 (x - 2)
x - 7 =0  OR  x - 2 = 0
x = 7  OR  x = 2

In short, Your Roots would be 2 & 7

Hope this helps!
fredd [130]2 years ago
3 0
<span><span>(<span>x<span>−7</span></span>)</span><span>(<span>x<span>−2</span></span><span>) he just got his signs mixed up </span></span></span>
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8 0
3 years ago
The polynomial of degree 4, P ( x ) , has a root of multiplicity 2 at x = 1 and roots of multiplicity 1 at x = 0 and x = − 2 . I
ICE Princess25 [194]

We want to find a polynomial given that we know its roots and a point on the graph.

We will find the polynomial:

p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x

We know that for a polynomial with roots {x₁, x₂, ..., xₙ} and a leading coefficient a, we can write the polynomial equation as:

p(x) = a*(x - x₁)*(x - x₂)...*(x - xₙ)

Here we know that the roots are:

  • x = 1 (two times)
  • x = 0
  • x = -2

Then the roots are: {1, 1, 0, -2}

We can write the polynomial as:

p(x) = a*(x - 1)*(x - 1)(x - 0)*(x - (-2))

p(x) = a*(x - 1)*(x - 1)*(x + 2)*x

We also know that this polynomial goes through the point (5, 336).

This means that:

p(5) = 336

Then we can solve:

336 = a*(5 - 1)*(5 - 1)*(5 + 2)*5

336 = a*(4)*(4)*(7)*5

336 = a*560

366/560 = a = 183/280

Then the polynomial is:

p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x

If you want to learn more, you can read:

brainly.com/question/11536910

5 0
2 years ago
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