Question

polynomials and factoring
multiplying binomials with leading coefficients greater than 1
multiply.
(5x - 3)(6x + 1)
simplify your answer.

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(5x \times 6x = 30x^2\)
Multiply the Outer terms: \(5x \times 1 = 5x\)
Multiply the Inner terms: \(-3 \times 6x = -18x\)
Multiply the Last terms: \(-3 \times 1 = -3\)

Step2: Combine like terms

Add the \(x\)-terms: \(5x - 18x = -13x\)
Combine all terms: \(30x^2 - 13x - 3\)

Answer:

\(30x^2 - 13x - 3\)