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2 years ago

Factor the trinomial: 5x^2+41x+42

Mathematics

2 answers:

bogdanovich [222]2 years ago

6 0

Answer:

(5x+6)(x+7)

Step-by-step explanation:

Factor the expression by grouping. Expression needs to be rewritten as 5x

2 +ax+bx+42.

To find a and b

a+b=41

ab=5×42=210

Since ab is positive, a and b have the same sign. List all such integer pairs that give product 210.

1,210

2,105

3,70

5,42

6,35

7,30

10,21

14,15

Calculate the sum for each pair.

1+210=211

2+105=107

3+70=73

5+42=47

6+35=41

7+30=37

10+21=31

14+15=29

The solution is the pair that gives sum 41.

a=6

b=35

Rewrite 5x

2 +41x+42 as (5x^2 +6x)+(35x+42).

Factor out x in the first and 7 in the second group.

x(5x+6)+7(5x+6)

Factor out common term 5x+6 by using distributive property.

(5x+6)(x+7)

babunello [35]2 years ago

5 0

Answer:

(5x + 6) (x + 7)

Step By Step Explanation:

Use the sum form to the product.

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Answer:

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Step-by-step explanation:

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8 0

3 years ago

Help me please. Can somebody please help me.

Monica [59]

Answer:

oh my :o

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Step-by-step explanation:

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2 years ago

Dante's Mom wants to build a fence around their yard. Here are the measurements of the yard. What are the measurements of the mi

timama [110]

Answer:

(a)The missing measurements are 9 feet and $16\frac{1}{4}$ feet$ .

(b)Therefore, the length of the fence is $97\frac{1}{2}$ feet$

Step-by-step explanation:

The diagram of the yard is attached below.

(a)I have labeled the missing dimensions of the yard as x and y.

Therefore:

$y+8\frac{1}{4}=17 \frac{1}{4}\\y=17 \frac{1}{4}-8\frac{1}{4}\\y=9$ feet$

Similarly:

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The missing measurements are 9 feet and $16\frac{1}{4}$ feet$ .

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The fence is rectangular shaped with:

Length = $31\frac{1}{2}$ feet$

Width = $17 \frac{1}{4}$ feet$

Perimeter of a Rectangle = 2(L+W)

Therefore, the length of the fence

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trasher [3.6K]

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Hope this helps!

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