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3 years ago

Ab + a - b when a = 3, and b = 7

Mathematics

2 answers:

Harrizon [31]3 years ago

5 0

Answer:

Step-by-step explanation:

ab + a - b (sub numbers)

(3)(7) + 3 - 7 (multiply)

21 + 3 - 7 (add/subtract left to right)

Roman55 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

(3 × 7) + 3 - 7

21 + 3 - 7

24 - 7

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What are all of the real roots of the following polynomial? f(x) x^4-24x^2-25

Greeley [361]

<u>Answer:</u>

x = ±5

<u>Step-by-step explanation:</u>

We are given the following polynomial function and we are to find all of its real roots:

$x^4-24x^2-25$

Let $y=x^2$ so we can now write it as:

$y^2-24y-25$

Factorizing it to get:

$(y^2+y)+(-25y-25)$

$y\left(y+1\right)-25\left(y+1\right)$

$\left ( y + 1 \right ) \left ( y - 2 5 \right)$

Substitute back $y=x^2$ to get:

$\left ( x^2 + 1 \right ) \left ( x^2 - 25 \right )$

$\left ( x^2 + 1 \right ) \left ( x + 5 \right ) \left ( x - 5 \right )$

The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.

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