Which expression is equivalent to m^2-13m-30?
(m – 15) (m + 2)
(m – 10) (m – 3)
(m + 15) ( m – 2)
(m + 10) (m + 3)

Question

Darthwampa Darthwampa

28-03-2019
Mathematics

contestada

Which expression is equivalent to m^2-13m-30?
(m – 15) (m + 2)
(m – 10) (m – 3)
(m + 15) ( m – 2)
(m + 10) (m + 3)

Respuesta :

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carlosego carlosego · Answer 1 · 2019-03-28T18:46:09+01:00

Answer: First option

Step-by-step explanation:

You have the quadratic equation given in the problem:

[tex]m^2-13m-30[/tex]

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.

These numbers would be -15 and 2.

Therfore, you obtain the following equivalent expression:

[tex](m-15)(m+2)[/tex]

If you don't want to apply the method above, you can use the quadratic formula:

[tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}[/tex]

Where:

[tex]a=1\\b=-13\\c=-30[/tex]

When you susbstitute values you obtain that:

[tex]x=15\\x=-2[/tex]

Then you can rewrite the equation as [tex](m-15)(m+2)[/tex]

kudzordzifrancis kudzordzifrancis · Answer 2 · 2019-03-28T18:46:59+01:00

kudzordzifrancis kudzordzifrancis

28-03-2019

Answer:

[tex](m-15)(m+2)[/tex]

Step-by-step explanation:

The given expression is

[tex]m^2-13m-30[/tex]

Split the middle term

[tex]m^2-15m+2m-30[/tex]

Factor

[tex]m(m-15)+2(m-15)[/tex]

Factor further to obtain;

[tex](m-15)(m+2)[/tex]

The correct answer is A.

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Which expression is equivalent to m^2-13m-30? (m – 15) (m + 2) (m – 10) (m – 3) (m + 15) ( m – 2) (m + 10) (m + 3)

Respuesta :

Otras preguntas

Which expression is equivalent to m^2-13m-30?
(m – 15) (m + 2)
(m – 10) (m – 3)
(m + 15) ( m – 2)
(m + 10) (m + 3)