Question
When $x^{2}+2 p x-3 q^{2}$ is divided by $x-p$, the remainder is zero. Show that $p^{2}=q^{2}$
Step 1
This means that $x-p$ is a factor of the polynomial. Show more…
Show all steps
Your feedback will help us improve your experience
Amy Jiang and 87 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Suppose that $P(x)=x^{100}-x^{99}+x^{98}-x^{97}+\cdots+x^{2}-x+1$. Find the remainder when $P(x)$ is divided by $x-1$
Rational Expressions and Equations
Synthetic Division
Suppose that $P(x)=x^{100}-x^{99}+x^{98}-x^{97}+\cdots+x^{2}-x+1$. Find the remainder when $P(x)$ is divided by $x+1$
If $(x-2)$ is a factor of $x^{2}+b x+1$ (where $b \in Q$ ), then find the remainder when $\left(x^{2}+b x+1\right)$ is divided by $2 x+3$. (1) 7 (2) 8 (3) 1 (4) 0
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD