Question

which constant term would mean that the expression is completely factored x ^ 2 - 3x +
-10
0
10

Answer 1

Factor x2−3x−10x2−3x−10=(x+2)(x−5)Answer:(x+2)(x−5)

here is the answer if the problem is x^2-3x+-10 have good day

Answer 2

The value of the constant term can be -10 or 0 to make the expression completely factored.

What is a quadratic equation?

Any equation of the form $\rm ax^2+bx+c=0$ 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:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

We have a quadratic function:

x² - 3x + _

Let c be the missing term:

x² - 3x + c

Compare the expression with the standard form of the quadratic expression:

= ax² + bx + c

a = 1

b = -3

As we know, discriminant:

D = b² - 4ac

Take c = -10

D = (-3)² - 4(1)(-10)

D = 9 + 40

D  = 49

The square root 49 is 7

Let c = 10

D = (-3)² - 4(1)(10)

D = 9 - 40

D < 0 (no real roots possible)

c =0

D = (-3)² - 4(1)(0)

D = 9

The square root of 9 is 3

Thus, the value of the constant term can be -10 or 0 to make the expression completely factored.

Learn more about quadratic equations here:

brainly.com/question/2263981

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