How to multiply a monomial by a polynomial

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SAT Math › How to multiply a monomial by a polynomial

Questions 1 - 4

1

Multiply:

Explanation

Distribute the monomial through the polynomial.

The answer is:

2

Distribute:

Explanation

Distribute the monomial to each part of the polynomial, paying careful attention to signs:

$4ab\cdot3a+4ab\cdot(-5b)+4ab\cdot1$

3

Multiply the monomials: $6x \times 4x^2$

$\textup{They are not like terms, so they can't be multiplied.}$

Explanation

In order to multiply this, we can simply multiply the coefficients together and the variables together. Anytime we multiply a variable of the same base, we can add the exponents.

$6x \times 4x^2 = (6\cdot 4) (x^1\cdot x^2)$

Simplify the right side.

$(6\cdot 4) (x^1\cdot x^2) = 24(x^{1+2})= 24x^3$

The answer is:

4

Evaluate:

Explanation

Distribute the monomial through each term inside the parentheses.

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