Question

p(x)=4x^2+24x+10=0
answer the question?​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

22x2 - 24x) - 10 = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

4x2 - 24x - 10 = 2 • (2x2 - 12x - 5)

Trying to factor by splitting the middle term

3.2 Factoring 2x2 - 12x - 5

The first term is, 2x2 its coefficient is 2 .

The middle term is, -12x its coefficient is -12 .

The last term, "the constant", is -5

Step-1 : Multiply the coefficient of the first term by the constant 2 • -5 = -10

Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is -12 .

-10 + 1 = -9

-5 + 2 = -3

-2 + 5 = 3

-1 + 10 = 9

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

3

:

2 • (2x2 - 12x - 5) = 0

STEP

4

:

Equations which are never true:

4.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Parabola, Finding the Vertex:

4.2 Find the Vertex of y = 2x2-12x-5