(x-(-3.10))(x-(-2.95))/(-3.25-(-3.10))(-3.25-(-2.95)) ×0.00+(x-(-3.25))(x-(-2.95))/(-3.10-(-3.25))(-3.10-(-2.95)) ×0.90+(x-(-3.25))(x-(-3.10))/(-2.95-(-3.25))(-2.95-(-3.10)) ×1.38

asked by guest
on Oct 21, 2024 at 1:51 pm



You asked:

Evaluate the expression: \(\frac{\left(x - -3.10\right) \cdot \left(x - -2.95\right)}{\left(-3.25 - -3.10\right) \cdot \left(-3.25 - -2.95\right)} \cdot 0.00 + \frac{\left(x - -3.25\right) \cdot \left(x - -2.95\right)}{\left(-3.10 - -3.25\right) \cdot \left(-3.10 - -2.95\right)} \cdot 0.90 + \frac{\left(x - -3.25\right) \cdot \left(x - -3.10\right)}{\left(-2.95 - -3.25\right) \cdot \left(-2.95 - -3.10\right)} \cdot 1.38\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{\left(x - -3.10\right) \cdot \left(x - -2.95\right)}{\left(-3.25 - -3.10\right) \cdot \left(-3.25 - -2.95\right)} \cdot 0.00 + \frac{\left(x - -3.25\right) \cdot \left(x - -2.95\right)}{\left(-3.10 - -3.25\right) \cdot \left(-3.10 - -2.95\right)} \cdot 0.90 + \frac{\left(x - -3.25\right) \cdot \left(x - -3.10\right)}{\left(-2.95 - -3.25\right) \cdot \left(-2.95 - -3.10\right)} \cdot 1.38 = - 40 \left(x + \frac{59}{20}\right) \left(x + \frac{13}{4}\right) + \frac{92 \left(x + \frac{31}{10}\right) \left(x + \frac{13}{4}\right)}{3} \)

Expanded

\[\frac{\left(x - -3.10\right) \cdot \left(x - -2.95\right)}{\left(-3.25 - -3.10\right) \cdot \left(-3.25 - -2.95\right)} \cdot 0.00 + \frac{\left(x - -3.25\right) \cdot \left(x - -2.95\right)}{\left(-3.10 - -3.25\right) \cdot \left(-3.10 - -2.95\right)} \cdot 0.90 + \frac{\left(x - -3.25\right) \cdot \left(x - -3.10\right)}{\left(-2.95 - -3.25\right) \cdot \left(-2.95 - -3.10\right)} \cdot 1.38 = - \frac{28 x^{2}}{3} - \frac{799 x}{15} - \frac{1118}{15}\]

Factored

\[\frac{\left(x - -3.10\right) \cdot \left(x - -2.95\right)}{\left(-3.25 - -3.10\right) \cdot \left(-3.25 - -2.95\right)} \cdot 0.00 + \frac{\left(x - -3.25\right) \cdot \left(x - -2.95\right)}{\left(-3.10 - -3.25\right) \cdot \left(-3.10 - -2.95\right)} \cdot 0.90 + \frac{\left(x - -3.25\right) \cdot \left(x - -3.10\right)}{\left(-2.95 - -3.25\right) \cdot \left(-2.95 - -3.10\right)} \cdot 1.38 = - \frac{\left(4 x + 13\right) \left(35 x + 86\right)}{15}\]

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