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2 years ago

What is the factored form of 6x2 13x 6? (x 4)(x 9) (2x 3)(3x 2) (2x 6)(3x 1) (6x 1)(6x 1).

Mathematics

1 answer:

snow_tiger [21]2 years ago

8 0

Polynomial are expressions. The factored form of the polynomial 6x²+13x+6 is (3x+2)(2x+3).

<h3>What are polynomial?</h3>

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In order to find the factored form of the given quadratic equation, we will break constant b(13) into two parts such that the sum of the parts is 13, while their product is equal to the product of the constant a(6) and c(6).

Therefore, the solution of the polynomial is,

$6x^2+13x+6\\\\= 6x^2 + 9x + 4x + 6\\\\= 3x(2x+3)+2(2x+3)\\\\=(3x+2)(2x+3)\\$

Hence, the factored form of the polynomial 6x²+13x+6 is (3x+2)(2x+3).

Learn more about Polynomial:

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Diano4ka-milaya [45]

Answer:

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Step-by-step explanation:

The three would also be distributed to z making the correct equivalent expression 15+3z

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3 years ago

Your drawer contains 10 red socks and 7 blue socks. It's to dark to see which are which,but you grab two anyway.What is the prob

den301095 [7]

P(both red)=(10/17)(9/16)
P(both blue)=(7/17)(6/16)

P(both same)= sum of above 2 = (90+42)/(16*17)=132/(16*17)=<span>0.485

coz both same means both blue or both red
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4 years ago

Read 2 more answers

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.

dlinn [17]

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7 0

3 years ago

When you divide a whole number by a fraction with a numerator of how can you find the quotient

UNO [17]

All you have to do is change the whole number to a fraction. Say you have 4 divided by 1/2. All you have to do to make a whole number a fraction is put it over 1. So now you would have 4/1 (4 being the numerator) divided by 1/2. When you divide fractions always remember this; Keep, Switch, Flip. Keep 4/1, Flip the division sign to multiplication, and Flip 1/2 to make it 2/1. Then you multiply the numerators and the denominators. So 4/1 * 2/1 = 8/1. Hope this helped.

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3 years ago

Solve:<br> sin5x - cos2x + sin x = 0.

mote1985 [20]

Answer:

x = 10 , 45 degrees.

Step-by-step explanation:

This seems a tricky one .

I guess we can use sin A + sin B = 2 sin (A+B)/2 cos (A - B) / 2

so sin 5x + sin x = 2 sin 3x cos 2x so our equation becomes

2 sin 3x cos 2x - cos 2x = 0

cos 2x ( 2 sin 3x - 1) = 0

so 2 sin 3x = 1

sin 3x = 1/2

giving 3x = 30 degrees and x = 10 degrees

or cos 2x = 0

so 2x = 90

giving x = 45 degrees.

8 0

3 years ago