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3 years ago

(Old furniture sold for cash Rs. 1500)

Mathematics

1 answer:

atroni [7]3 years ago

6 0

What’s the question?

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If x+a is a factor of 2x²+2ax+5x+10,find a.

vazorg [7]

If $x+a$ is a factor of the polynomial, it means that $-a$ is a root of the polynomial.

In fact, if a polynomial $p(x)$ has a root $x_0$ (i.e. $p(x_0)=0$ ), then the polynomial is divisible by $(x-x_0)$

In your case, you know that the polynomial is divisible by $(x+a)=(x-(-a))$ , so $-a$ is a solution.

Let's evaluate $p(-a)$ and set it to zero:

$2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2$

We can check the answer: if $a=2$ the polynomial becomes

$2x^2+2(2)x+5x+10 = 2x^2+9x+10$

And we're claiming that $-a=-2$ is a root of this polynomial:

$2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0$

5 0

3 years ago

Help mathh is it growth, decay or neither??

Elenna [48]

Answer:

growth

Step-by-step explanation:

7 0

3 years ago

A fair coin is tossed 14 times, what is the probability of exactly 6 heads

Mrrafil [7]

Answer:

42.85% or 6/14

Step-by-step explanation:

6 / 14 = 0.428571428571

0.428571428571 * 100 ~ 42.85%

<em>Can I get Brainliest?</em>

6 0

4 years ago

Solve the system of equations using the substitution method.

Galina-37 [17]

Answer:

x = y = -2

Step-by-step explanation:

Hope this helps

3 0

3 years ago

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Giving brainlyest <br> 1.36 +0.9

SOVA2 [1]

Answer: 2.26

Step-by-step explanation://Give thanks(and or Brainliest) if helpful (≧▽≦)//

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3 years ago

Read 2 more answers