Jump to

- Rational Numbers
- Linear Equations in One Variable
- Understanding Quadrilaterals
- Practical Geometry
- Data Handling
- Squares and Square Roots
- Cubes and Cube Roots
- Comparing Quantities
- Algebraic Expressions and Identities
- Visualising Solid Shapes
- Mensuration
- Exponents and Powers
- Direct and Inverse Proportions
- Factorisation
- Introduction to Graphs
- Playing with Numbers

Factorize the expressions and divide them as directed:

\left(y^{2}+7 y+10\right) \div(y+5)

Answer:

Solution:

A polynomial called a "quadratic" is expressed as "ax^{2} + bx + c," where "a," "b," and "c" are simple numbers. For a simple case of factoring, we may determine the two values that will add up to equal "b," as well as multiply to equal the product term "ac."

\begin{aligned} &\text { First solve for equation, }\left(y^{2}+7 y+10\right)\\ &\left(y^{2}+7 y+10\right)=y^{2}+2 y+5 y+10=y(y+2)+5(y+2)=(y+2)(y+5)\\ &\text { Now, }\left(y^{2}+7 y+10\right) \div(y+5)=(y+2)(y+5) /(y+5)=y+2 \end{aligned}

Related Questions

Was This helpful?

Chapters

Lido

Courses

Quick Links

Terms & Policies

Terms & Policies

2022 © Quality Tutorials Pvt Ltd All rights reserved