Factor the quadratic expression t^2 + 4t - 7

Mathematics

1 answer:

zepelin [54]3 years ago

7 0

Answer:

Not factorable.

Step-by-step explanation:

We have a trinomial (3 terms). We factor by splitting the middle term 4t into factors of -7 (the last term) which add to 4.

-7 = 1 * -7

4t= 1t+-7t doesn't work

4t=-1t+7t doesn't work

This is not factorable.

You might be interested in

53x52 step by step plzzz

Zigmanuir [339]

Answer: here you go i tried my best

Step-by-step explanation:

3 0

3 years ago

Floats in a parade travel down the 5.5 mile long street at a rate of 2.5 miles per hour. How long will it take the floats to com

Rina8888 [55]

It should take 2.2 hours, since 5.5 / 2.5 = 2.2.

6 0

3 years ago

If f(x) is a fifth degree polynomial, is it possible that it has exactly 5 complex roots?

Zolol [24]

No.

A fifth degree polynomial, having a graph that increases and starts from below x-axis.

Therefore, no matter what equation it is. The fifth degree polynomial will intercept x-axis AT LEAST one.

The fifth degree polynomial can have only at maximum, 4 complex roots.

<em>You can try drawing or seeing the graph of fifth-degree polynomial function. No matter what equations, they still intercept at least one x-value.</em>

<em />

4 0

3 years ago

Need help asap!!!! By 1 pm

PSYCHO15rus [73]

Answer: x4

Step-by-step explanation:

5 0

3 years ago

Solve the initial value problem where y′′+4y′−21 y=0, y(1)=1, y′(1)=0 . Use t as the independent variable.

igor_vitrenko [27]

Answer:

$y = \frac{7}{10} e^{3(t - 1)} + \frac{3}{10}e^{-7(t - 1)}$

Step-by-step explanation:

y′′ + 4y′ − 21y = 0

The auxiliary equation is given by

m² + 4m - 21 = 0

We solve this using the quadratic formula. So

$m = \frac{-4 +/- \sqrt{4^{2} - 4 X 1 X (-21))} }{2 X 1}\\ = \frac{-4 +/- \sqrt{16 + 84} }{2}\\= \frac{-4 +/- \sqrt{100} }{2}\\= \frac{-4 +/- 10 }{2}\\= -2 +/- 5\\= -2 + 5 or -2 -5\\= 3 or -7$