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3 years ago

Factor the trinomial step by step & explain 2x^2+ 5x + 3

Mathematics

1 answer:

Colt1911 [192]3 years ago

8 0

Answer:

One way to factor equation is to find the zeros. Its obvious that x=-1 is solution for this. So one factor is (x+1)

the next factor should include 2x at first (because we have 2x^2 in the equation which can not be made any other way)

Let's suppose the factor is (x+1)(2x+b)

Since we do not know what is b open the brackets 2x^2+bx+2x+b. If this is equal to 2x^2+5x+3 then b=3. We are left with (x+1)(2x+3)=2(x+1)(x+3/2)

Would go for other shorter solutions, but they require some deeper understanding like Horner's scheme,Fermat's Theorem or even deeper which I assume You will not understand)

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Eliminate the parameter

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$y = x -2, x\geq 1$

Step-by-step explanation:

In the question given correct parameter is - 2) $y = x -2, x\geq 1$

Method -

$x= t^2 + 1$ ........................(1)

$y = t^2 - 1$ ..........................(2)

Let's solve the equation 1,

⇒ $x = t^2 +1$

⇒ $t^2 = x - 1$

Put the value of t² in equation 2

$y =t^2 - 1 \\y = x -1 -1\\y = x - 2$

Here we got the y parameter as $y = x -2$

So the option no .2 is the correct option 2) $y = x -2, x\geq 1$

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Step-by-step explanation:

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Step-by-step explanation:

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