Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the zeros of the function. Enter the solutions from least to greatest.

{:[h(x)=(-4x-3)(x-3)],[" lesser "x=◻],[" greater "x=◻]:}

Find the zeros of the function. Enter the solutions from least to greatest. $\newline$ $h(x)=(-4 x-3)(x-3)$ $\newline$ lesser $x=$ $\newline$ greater $x=$

View step-by-step help

View step-by-step help

Find the roots of factored polynomials

Full solution

Q. Find the zeros of the function. Enter the solutions from least to greatest.

\newline

h(x)=(-4 x-3)(x-3)

\newline

lesser

x=

\newline

greater

x=

Set Function Equal to Zero: To find the zeros of the function $h(x)$ , we need to set the function equal to zero and solve for $x$ . $h(x) = 0$ when $(-4x - 3)(x - 3) = 0$ .We can find the zeros by setting each factor equal to zero and solving for $x$ .
Find Zeros of First Factor: First, let's set the first factor equal to zero and solve for $x$ . $-4x - 3 = 0$ Add $3$ to both sides to isolate the term with $x$ . $-4x = 3$ Now, divide both sides by $-4$ to solve for $x$ . $x = \frac{3}{-4}$ $x = -\frac{3}{4}$ This is our first zero.
Find Zeros of Second Factor: Next, let's set the second factor equal to zero and solve for $x$ . $x - 3 = 0$ Add $3$ to both sides to solve for $x$ . $x = 3$ This is our second zero.
Enter Solutions in Order: Now we have both zeros of the function $h(x)$ : $-\frac{3}{4}$ and $3$ . We need to enter the solutions from least to greatest. The lesser $x$ is $-\frac{3}{4}$ , and the greater $x$ is $3$ .

More problems from Find the roots of factored polynomials

Question

Find the degree of this polynomial.

\newline

`5b^{10} + 3b^3`

\newline

Posted 3 months ago

Question

\newline

(9a + 5) - (2a + 4)

\newline

Posted 3 months ago

Question

Find the product. Simplify your answer.

\newline

-3v^2(v^2 - 9)

\newline

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

(v - 3)(4v + 1)

\newline

Posted 3 months ago

Question

Find the square. Simplify your answer.

\newline

(3y + 2)^2

\newline

Posted 3 months ago

Question

Divide. If there is a remainder, include it as a simplified fraction.

\newline

(24t^2 + 36t) \div 6t

\newline

Posted 2 months ago

Question

Is the function

q(x) = x^6 - 9

even, odd, or neither?

\newline

\newline

\text{[[even][odd][neither]]}

Posted 3 months ago

Question

Find the product. Simplify your answer.

\newline

-3q^2(-3q^2 + q)

\newline

Posted 3 months ago

Question

Find the product. Simplify your answer.

\newline

(r + 3)(4r + 2)

\newline

Posted 3 months ago

Question

Find the roots of the factored polynomial.

\newline

(x + 7)(x + 4)

\newline

Write your answer as a list of values separated by commas.

\newline

x =

Posted 3 months ago