Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer. $\newline$ $t(-t^2 + 5)$

View step-by-step help

View step-by-step help

Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

t(-t^2 + 5)

Distribute $t$ : We need to distribute the term $t$ to both terms inside the parentheses: $-t^2$ and $+5$ . $\newline$ $t(-t^2 + 5) = t(-t^2) + t(5)$
Simplify $-t^2$ : Simplify $t(-t^2)$ . $t(-t^2) = -t \times t^2 = -t^3$
Simplify $5t$ : Simplify $t(5)$ . $t(5) = 5t$
Combine terms: Combine the simplified terms to get the final answer. $t(-t^2 + 5) = -t^3 + 5t$

More problems from Multiply a polynomial by a monomial

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