Please help!! Brainliest given!

1. Factor the following trinomial: 2x^2+13x+15

A. (2^x+3)(x+5)
B. (2x+5)(x+4)
C. 2(x+1)(x+6)
D. (2x+5)(x+3)

2. Determine if the following equation equations identity: (x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx

A. This is not an identity because the equation is true
B. This is an identity because the equation is true
C. This is not an identity because the equation is not true
D. This is an identity because the equation is not true

Question

04-10-2020
Mathematics

contestada

Please help!! Brainliest given!

1. Factor the following trinomial: 2x^2+13x+15

A. (2^x+3)(x+5)
B. (2x+5)(x+4)
C. 2(x+1)(x+6)
D. (2x+5)(x+3)

2. Determine if the following equation equations identity: (x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx

A. This is not an identity because the equation is true
B. This is an identity because the equation is true
C. This is not an identity because the equation is not true
D. This is an identity because the equation is not true

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CSMedrano CSMedrano · Answer 1 · 2020-10-04T05:17:25+02:00

Answer:

Step-by-step explanation:

[tex]2x^2+13x+15\\\\(2x+a)(x+b)=2x^2+(2b+a)x+ab=2x^2+13x+15\\\\a=3\\\\b=5\\\\\Rightarrow 2x^2+13x+15=(2x+3)(x+5)[/tex]

so it's option A

I think it's A, because the option for A is [tex](2^x+3)(x+5)[/tex] and it should be [tex](2x+3)(x+5)[/tex]

2.

[tex](x+y+z)^2\\\\=(x+y+z)(x+y+z)\\\\=x(x+y+z)+y(x+y+z)+z(x+y+z)\\\\=(x^2+xy+xz)+(xy+y^2+yz)+(xz+yz+z^2)\\\\=(x^2+y^2+z^2)+(xy+xy)+(xz+xz)+(yz+yz)\\\\=x^2+y^2+z^2+2xy+2xz+2yz[/tex]

So it's option B