Gr 10 Math Ch 1: Products

What is the definition of a binomial?

An expression with three terms

An expression with two terms (correct)

An equation representing two equal expressions

An expression with one term

In the expression $(2x + 3)(4x + 5)$, what is the coefficient of the $x^2$ term after expansion?

20

8 (correct)

2

10

Which of the following correctly represents the product of a monomial and a binomial?

A + B + AC

ax + ay (correct)

aB + aC

a^2x + ab

What do you call the term that appears without a variable in a mathematical expression?

Constant Signup and view all the answers

In the operation $(A + B)(C + D + E)$, how many terms will the product yield?

6 Signup and view all the answers

Which expression correctly represents the expansion of $(ax + b)(cx + d)$?

$acx^2 + adx + bcx + bd$ Signup and view all the answers

What is an exponent in mathematical terms?

The power to which a base is raised Signup and view all the answers

After multiplying the binomial $(x + 1)$ with the trinomial $(2x + 3 + 4)$, what is the term with the highest degree in the expanded expression?

8x^2 Signup and view all the answers

What is the resulting term when the monomial $3$ is multiplied by the binomial $(x + 2)$?

$3x + 6$ Signup and view all the answers

What are the correct terms in the expanded form of $(2x + 3)(3x + 4)$?

$6x^2 + 17x + 12$ Signup and view all the answers

Which of the following is the expression resulting from $(x + 1)(x^2 + 2x + 3)$?

$x^3 + 3x^2 + 3x + 1$ Signup and view all the answers

When multiplying the binomial $(3x + 2)$ by the trinomial $(x^2 + x + 1)$, what is the coefficient of the $x^2$ term in the resulting expression?

3 Signup and view all the answers

What is the general formula to multiply two linear binomials $(ax + b)(cx + d)$?

$acx^2 + adx + bcx + bd$ Signup and view all the answers

What characteristic defines a trinomial in a mathematical expression?

It has three terms. Signup and view all the answers

If you multiply the trinomial $(x + 2 + y)$ by the binomial $(3y + x)$, which term will have the highest degree in the resulting expression?

$x^2y + 3xy$ Signup and view all the answers

In the expression $(2x + 1)(x + 3)$ after expansion, what is the value of the constant term?

6 Signup and view all the answers

What is the product of the monomial $4$ and the binomial $(x - 5)$?

$4x - 20$ Signup and view all the answers

When expanding the expression $(2x + 3)(x - 4)$, which of the following terms will not appear?

$4x$ Signup and view all the answers

In the expansion of $(5 + 2x)(3 + x + 4y)$, which term represents the coefficient of $x^2$?

$0$ Signup and view all the answers

Which expression correctly represents the sum of terms after multiplying the binomial $(x + 2)$ by the trinomial $(x^2 + 3x + 1)$?

$x^3 + 2x^2 + 5x + 2$ Signup and view all the answers

Which of the following expresses the expansion of the binomial $(x + 1)(2x + 3)$ correctly?

$2x^2 + 5x + 3$ Signup and view all the answers

What is the general form for the product of two polynomials when both are of degrees $n$?

Degree of $2n$ Signup and view all the answers

When expanding $(x - 3)(x + 2)$, which term represents the constant in the resulting expression?

$-6$ Signup and view all the answers

Which of the following correctly identifies what happens when a monomial is multiplied by a polynomial?

Each term in the polynomial is multiplied by the monomial. Signup and view all the answers