MATHEMATICS HIGH SCHOOL

How would you put this expression in factored form? 4x2 + 11x + 6

Answers

Answer 1

Answer:

we have

$4x^(2) +11x+6$

Equate the expression to zero

$4x^(2) +11x+6=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$4x^(2) +11x=-6$

Factor the leading coefficient

$4(x^(2) +(11x/4))=-6$

Complete the square. Remember to balance the equation by adding the same constants to each side

$4(x^(2) +(11x/4)+(121/64))=-6+(121/16)$

$4(x^(2) +(11x/4)+(121/64))=(25/16)$

$(x^(2) +(11x/4)+(121/64))=(25/64)$

Rewrite as perfect squares

$(x+(11/8))^(2)=(25/64)$

Square root both sides

$x+(11/8)=(+/-)\sqrt{(25)/(64)}$

$x=(-11/8)(+/-)(5)/(8)$

$x=(-11/8)+(5)/(8)=-(6)/(8)=-(3)/(4)$

$x=(-11/8)-(5)/(8)=-(16)/(8)=-2$

therefore

$4x^(2) +11x+6=4(x+(3)/(4))(x+2)=(4x+3)((x+2)$

the answer is

$(4x+3)((x+2)$

Answer 2

Answer:

Answer:

Its (4x+3)(x+2) 100%

Step-by-step explanation:

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Please help if you know how to solve itThank you!

Find the product.(2p + 7)(3p - 9)
6p2 - 3p - 63
6p2 + 3p - 63
6p2 + 39p - 63
6p2 + 3p - 2

Answers

(2p + 7)(3p-9)
2p x 3p= 6p^2
2p x -9= -18p
7 x 3p=21p
7 x -9=-63
6p^2 - 18p + 21p - 63
6p^2 + 3p -63 is the answer.

If you would like to solve (2 * p + 7) * (3 * p - 9), you can calculate this using the following steps:

(2 * p + 7) * (3 * p - 9) = 2 * p * 3 * p - 2 * p * 9 + 7 * 3 * p - 7 * 9 = 6 * p^2 - 18 * p + 21 * p - 63 = 6 * p^2 + 3 * p - 63

The correct result would be 6 * p^2 + 3 * p - 63.

Cutting a 4 foot ribbon into 7 equal parts, how long is each piece

Answers

The length of each piece will be 4/7 or 0.57

each piece would be 6.86 inches long.
pretty short must have ment the person had short hair :)

What is the sum of the given polynomials in standard form?
(x2 – 3x) + (–2x2 + 5x – 3)

Answers

Answer:

$-x^2+2x-3$

Step-by-step explanation:

We have $(x^2- 3x) + (-2x^2 + 5x -3)$ which is the same as:

$x^2-3x-2x^2+5x-3$

The polynomial has 5 terms that we are going to analyse:

1st. term: $x^2$ Degree: 2 Coefficient: 1

Observation: Coefficient is the number in front of a variable. In this case the variable is x. Then the first term has coefficient 1 because $(1).x^2=x^2$ .