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An x-method chart shows the product a c at the top of x and b at the bottom of x. Below the chart is the expression a x squared + b x + c. Consider the trinomial 9x2 + 21x + 10. What value is placed on top of the X? What value is placed on the bottom of the X? What is the factored form of 9x2 + 21x + 10?

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Answer:

the correct answers are

What value is placed on top of the X?  90

What value is placed on the bottom of the X? 21

What is the factored form of 9x2 + 21x + 10?  (3x + 2)(3x + 5)

Step-by-step explanation:

i got it right, hope this helps :D

The value top of the X is 90, the value placed on the bottom of the X is 21, and the factored form of the expression is (3x + 2)(3x + 5)

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a quadratic polynomial:

= 9x² + 21x + 10

On comparing with the standard equation:

a = 9

b =21

c = 10

The value top of the X = ac = 9(10) = 90

The value is placed on the bottom of the X = b = 21

Factor form of the expression:

[tex]\rm =3x\left(3x+2\right)+5\left(3x+2\right)[/tex]

=  (3x + 2)(3x + 5)

Thus, the value top of the X is 90, the value placed on the bottom of the X is 21, and the factored form of the expression is (3x + 2)(3x + 5)

Learn more about quadratic equations here:

brainly.com/question/2263981


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