Question

Subtract 4p²−9p+11 from p²−5p+4.

a) 3p²−4p−7
b) 3p²−14p−7
c) 2p²+5p−15
d) 2p²−14p+7

Answer 1

To subtract the polynomial 4p²−9p+11 from p²−5p+4, you subtract corresponding coefficients of like terms and flip the signs, resulting in 3p² - 14p + 7.

Step-by-step explanation:

To subtract the polynomial 4p²−9p+11 from p²−5p+4, we subtract the corresponding coefficients of like terms

Combining these results, we get -3p² + 4p - 7. However, because subtraction of a polynomial means adding the opposite of each term in the second polynomial, we must flip the signs from negative to positive or vice versa.

The correct result after flipping the signs is 3p² - 14p + 7.

This is equivalent to option d from the provided choices.