what is the product? (x - 3)(2x² - 5x + 1) 2x³ - x² + 16x + 3 2x³ - 11x² + 16x + 3 2x³ - 11x² + 16x - 3 2x³…
what is the product? (x - 3)(2x² - 5x + 1) 2x³ - x² + 16x + 3 2x³ - 11x² + 16x + 3 2x³ - 11x² + 16x - 3 2x³ - x² + 16x - 3
Answer
Explanation:
Step1: Use distributive property
$(x - 3)(2x^{2}-5x + 1)=x(2x^{2}-5x + 1)-3(2x^{2}-5x + 1)$
Step2: Distribute $x$
$x(2x^{2}-5x + 1)=2x^{3}-5x^{2}+x$
Step3: Distribute - 3
$-3(2x^{2}-5x + 1)=-6x^{2}+15x - 3$
Step4: Combine like - terms
$(2x^{3}-5x^{2}+x)+(-6x^{2}+15x - 3)=2x^{3}+(-5x^{2}-6x^{2})+(x + 15x)-3=2x^{3}-11x^{2}+16x - 3$
Answer:
$2x^{3}-11x^{2}+16x - 3$ (the third option)