Mathematics: Factor the following trinomials. x²-6x+4

Factor the following trinomials. x²-6x+4

avengegaming7

09.01.2022

$(x-3-\sqrt{5})(x-3+\sqrt{5})$

Step-by-step explanation:

Start with the discriminant of the trinomial

x^2-6x+4

The discriminant is

$D=b^2-4ac=(-6)^2-4\cdot 1\cdot 4=36-16=20$

Now, find the roots of the trinomial using the quadratic formula

$x_{1,2}=\dfrac{-b\pm \sqrt{D}}{2a}=\dfrac{-(-6)\pm \sqrt{20}}{2\cdot 1}=\dfrac{6\pm2\sqrt{5}}{2}=3\pm \sqrt{5}$

So, the factored form of the trinomial is

$(x-(3+\sqrt{5}))(x-(3-\sqrt{5}))=(x-3-\sqrt{5})(x-3+\sqrt{5})$

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chilanka

20.01.2020

18m³ + 2m² – m

Combine (add and subtract) the terms that have the same variable and exponent. Do not combine terms that have different exponents or variables.

5m³ +5m³ + 8m³ = 18m³

3m² +3m² –4m² = 2m²

–2m –2m +3m = –m

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